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Search: a318327 -id:a318327
Displaying 1-10 of 11 results found.
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A318336
The 10-adic integer a_9 = ...75576244769 satisfying a_9^5 + 1 = a_0, a_0^5 + 1 = a_1, ... , a_7^5 + 1 = a_8 and a_8^5 + 1 = a_9.
+10
12
9, 6, 7, 4, 4, 2, 6, 7, 5, 5, 7, 1, 1, 3, 5, 8, 3, 6, 2, 2, 2, 5, 7, 8, 4, 0, 6, 7, 3, 4, 7, 9, 0, 5, 0, 9, 4, 0, 8, 9, 8, 3, 7, 9, 3, 4, 1, 3, 4, 0, 8, 8, 4, 4, 5, 5, 6, 4, 0, 0, 7, 6, 5, 9, 6, 5, 3, 4, 6, 6, 6, 6, 4, 0, 6, 2, 6, 8, 9, 2, 4, 1, 7, 3, 6, 4, 2, 3, 5, 6, 8
(list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..5000
EXAMPLE
75576244769^5 + 1 == 34474674850 (mod 10^11),
34474674850^5 + 1 == 67812500001 (mod 10^11),
67812500001^5 + 1 == 39062500002 (mod 10^11),
39062500002^5 + 1 == 25000000033 (mod 10^11),
25000000033^5 + 1 == 25039135394 (mod 10^11),
25039135394^5 + 1 == 85011784225 (mod 10^11),
85011784225^5 + 1 == 17275390626 (mod 10^11),
17275390626^5 + 1 == 89599609377 (mod 10^11),
89599609377^5 + 1 == 74462890658 (mod 10^11),
74462890658^5 + 1 == 75576244769 (mod 10^11).
CROSSREFS
Cf. A318327 (a_0), A318328 (a_1), A318329 (a_2), A318330 (a_3), A318331 (a_4), A318332 (a_5), A318333 (a_6), A318334 (a_7), A318335 (a_8), this sequence (a_9).
KEYWORD
nonn,base
AUTHOR
Seiichi Manyama, Aug 24 2018
STATUS
approved
A318328
The 10-adic integer a_1 = ...67812500001 satisfying a_1^5 + 1 = a_2, a_2^5 + 1 = a_3, ... , a_9^5 + 1 = a_0 and a_0^5 + 1 = a_1.
+10
10
1, 0, 0, 0, 0, 5, 2, 1, 8, 7, 6, 2, 2, 0, 8, 9, 3, 8, 7, 2, 0, 6, 8, 8, 8, 6, 7, 2, 1, 8, 1, 0, 5, 4, 5, 3, 6, 9, 6, 4, 7, 9, 9, 8, 0, 4, 0, 7, 3, 9, 7, 3, 8, 0, 2, 4, 8, 0, 5, 4, 0, 0, 8, 6, 0, 7, 9, 7, 9, 6, 7, 5, 4, 0, 1, 2, 4, 0, 4, 4, 2, 7, 3, 2, 8, 0, 5, 0, 7, 6, 2
(list; graph; refs; listen; history; text; internal format)
OFFSET
0,6
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..5000
EXAMPLE
67812500001^5 + 1 == 39062500002 (mod 10^11),
39062500002^5 + 1 == 25000000033 (mod 10^11),
25000000033^5 + 1 == 25039135394 (mod 10^11),
25039135394^5 + 1 == 85011784225 (mod 10^11),
85011784225^5 + 1 == 17275390626 (mod 10^11),
17275390626^5 + 1 == 89599609377 (mod 10^11),
89599609377^5 + 1 == 74462890658 (mod 10^11),
74462890658^5 + 1 == 75576244769 (mod 10^11),
75576244769^5 + 1 == 34474674850 (mod 10^11),
34474674850^5 + 1 == 67812500001 (mod 10^11).
CROSSREFS
Cf. A318327 (a_0), this sequence (a_1), A318329 (a_2), A318330 (a_3), A318331 (a_4), A318332 (a_5), A318333 (a_6), A318334 (a_7), A318335 (a_8), A318336 (a_9).
KEYWORD
nonn,base
AUTHOR
Seiichi Manyama, Aug 24 2018
STATUS
approved
A318329
The 10-adic integer a_2 = ...39062500002 satisfying a_2^5 + 1 = a_3, a_3^5 + 1 = a_4, ... , a_0^5+ 1 = a_1 and a_1^5 + 1 = a_2.
+10
10
2, 0, 0, 0, 0, 5, 2, 6, 0, 9, 3, 8, 3, 7, 5, 0, 0, 8, 5, 0, 4, 4, 5, 2, 0, 1, 1, 8, 7, 2, 2, 7, 9, 7, 5, 7, 5, 2, 2, 0, 6, 1, 1, 1, 7, 5, 3, 7, 0, 6, 3, 3, 5, 3, 4, 3, 8, 2, 7, 1, 2, 4, 7, 1, 1, 8, 4, 5, 3, 5, 0, 5, 1, 3, 2, 9, 1, 4, 5, 6, 6, 0, 1, 0, 9, 7, 9, 3, 6, 6, 0
(list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..5000
EXAMPLE
39062500002^5 + 1 == 25000000033 (mod 10^11),
25000000033^5 + 1 == 25039135394 (mod 10^11),
25039135394^5 + 1 == 85011784225 (mod 10^11),
85011784225^5 + 1 == 17275390626 (mod 10^11),
17275390626^5 + 1 == 89599609377 (mod 10^11),
89599609377^5 + 1 == 74462890658 (mod 10^11),
74462890658^5 + 1 == 75576244769 (mod 10^11),
75576244769^5 + 1 == 34474674850 (mod 10^11),
34474674850^5 + 1 == 67812500001 (mod 10^11),
67812500001^5 + 1 == 39062500002 (mod 10^11).
CROSSREFS
Cf. A318327 (a_0), A318328 (a_1), this sequence (a_2), A318330 (a_3), A318331 (a_4), A318332 (a_5), A318333 (a_6), A318334 (a_7), A318335 (a_8), A318336 (a_9).
KEYWORD
nonn,base
AUTHOR
Seiichi Manyama, Aug 24 2018
STATUS
approved
A318330
The 10-adic integer a_3 = ...25000000033 satisfying a_3^5 + 1 = a_4, a_4^5 + 1 = a_5, ... , a_1^5+ 1 = a_2 and a_2^5 + 1 = a_3.
+10
10
3, 3, 0, 0, 0, 0, 0, 0, 0, 5, 2, 1, 7, 0, 4, 8, 5, 3, 9, 5, 1, 5, 6, 5, 3, 0, 8, 5, 6, 2, 9, 9, 0, 5, 0, 0, 1, 7, 4, 0, 9, 5, 4, 7, 9, 6, 1, 0, 8, 4, 5, 9, 1, 1, 8, 1, 2, 6, 3, 3, 3, 5, 6, 9, 0, 5, 6, 5, 1, 0, 8, 6, 3, 3, 4, 5, 4, 0, 5, 3, 7, 7, 7, 3, 6, 7, 2, 7, 1, 7, 4, 5
(list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..5000
EXAMPLE
25000000033^5 + 1 == 25039135394 (mod 10^11),
25039135394^5 + 1 == 85011784225 (mod 10^11),
85011784225^5 + 1 == 17275390626 (mod 10^11),
17275390626^5 + 1 == 89599609377 (mod 10^11),
89599609377^5 + 1 == 74462890658 (mod 10^11),
74462890658^5 + 1 == 75576244769 (mod 10^11),
75576244769^5 + 1 == 34474674850 (mod 10^11),
34474674850^5 + 1 == 67812500001 (mod 10^11),
67812500001^5 + 1 == 39062500002 (mod 10^11),
39062500002^5 + 1 == 25000000033 (mod 10^11).
CROSSREFS
Cf. A318327 (a_0), A318328 (a_1), A318329 (a_2), this sequence (a_3), A318331 (a_4), A318332 (a_5), A318333 (a_6), A318334 (a_7), A318335 (a_8), A318336 (a_9).
KEYWORD
nonn,base
AUTHOR
Seiichi Manyama, Aug 24 2018
STATUS
approved
A318331
The 10-adic integer a_4 = ...25039135394 satisfying a_4^5 + 1 = a_5, a_5^5 + 1 = a_6, ... , a_2^5+ 1 = a_3 and a_3^5 + 1 = a_4.
+10
10
4, 9, 3, 5, 3, 1, 9, 3, 0, 5, 2, 6, 5, 3, 4, 0, 8, 6, 7, 5, 6, 3, 1, 4, 9, 2, 6, 6, 0, 8, 3, 0, 0, 5, 4, 6, 7, 9, 2, 3, 9, 7, 3, 5, 6, 3, 2, 9, 7, 2, 4, 7, 2, 5, 4, 4, 8, 7, 3, 7, 8, 0, 3, 7, 3, 2, 1, 8, 5, 6, 6, 8, 3, 4, 6, 3, 4, 8, 8, 0, 5, 0, 9, 0, 6, 0, 8, 5, 9, 8, 9
(list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..5000
EXAMPLE
25039135394^5 + 1 == 85011784225 (mod 10^11),
85011784225^5 + 1 == 17275390626 (mod 10^11),
17275390626^5 + 1 == 89599609377 (mod 10^11),
89599609377^5 + 1 == 74462890658 (mod 10^11),
74462890658^5 + 1 == 75576244769 (mod 10^11),
75576244769^5 + 1 == 34474674850 (mod 10^11),
34474674850^5 + 1 == 67812500001 (mod 10^11),
67812500001^5 + 1 == 39062500002 (mod 10^11),
39062500002^5 + 1 == 25000000033 (mod 10^11),
25000000033^5 + 1 == 25039135394 (mod 10^11).
CROSSREFS
Cf. A318327 (a_0), A318328 (a_1), A318329 (a_2), A318330 (a_3), this sequence (a_4), A318332 (a_5), A318333 (a_6), A318334 (a_7), A318335 (a_8), A318336 (a_9).
KEYWORD
nonn,base
AUTHOR
Seiichi Manyama, Aug 24 2018
STATUS
approved
A318332
The 10-adic integer a_5 = ...85011784225 satisfying a_5^5 + 1 = a_6, a_6^5 + 1 = a_7, ... , a_3^5 + 1 = a_4 and a_4^5 + 1 = a_5.
+10
10
5, 2, 2, 4, 8, 7, 1, 1, 0, 5, 8, 8, 1, 7, 0, 5, 0, 6, 4, 2, 2, 1, 2, 7, 6, 8, 1, 6, 2, 3, 6, 2, 0, 6, 3, 8, 8, 0, 8, 8, 7, 4, 1, 3, 8, 1, 7, 5, 1, 6, 3, 0, 9, 2, 0, 3, 4, 9, 0, 4, 8, 6, 7, 8, 5, 3, 0, 9, 0, 1, 2, 1, 2, 6, 3, 9, 9, 5, 8, 8, 1, 9, 2, 1, 1, 4, 3, 7, 1, 2, 8
(list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..5000
EXAMPLE
85011784225^5 + 1 == 17275390626 (mod 10^11),
17275390626^5 + 1 == 89599609377 (mod 10^11),
89599609377^5 + 1 == 74462890658 (mod 10^11),
74462890658^5 + 1 == 75576244769 (mod 10^11),
75576244769^5 + 1 == 34474674850 (mod 10^11),
34474674850^5 + 1 == 67812500001 (mod 10^11),
67812500001^5 + 1 == 39062500002 (mod 10^11),
39062500002^5 + 1 == 25000000033 (mod 10^11),
25000000033^5 + 1 == 25039135394 (mod 10^11),
25039135394^5 + 1 == 85011784225 (mod 10^11).
CROSSREFS
Cf. A318327 (a_0), A318328 (a_1), A318329 (a_2), A318330 (a_3), A318331 (a_4), this sequence (a_5), A318333 (a_6), A318334 (a_7), A318335 (a_8), A318336 (a_9).
KEYWORD
nonn,base
AUTHOR
Seiichi Manyama, Aug 24 2018
STATUS
approved
A318333
The 10-adic integer a_6 = ...17275390626 satisfying a_6^5 + 1 = a_7, a_7^5 + 1 = a_8, ... , a_4^5 + 1 = a_5 and a_5^5 + 1 = a_6.
+10
10
6, 2, 6, 0, 9, 3, 5, 7, 2, 7, 1, 7, 6, 0, 7, 1, 8, 8, 2, 6, 4, 4, 2, 4, 3, 9, 7, 1, 8, 1, 8, 0, 4, 4, 9, 0, 9, 8, 1, 8, 7, 3, 6, 4, 3, 3, 1, 3, 7, 1, 4, 2, 6, 1, 1, 3, 0, 4, 8, 1, 2, 4, 5, 4, 7, 3, 7, 1, 9, 6, 7, 7, 3, 4, 1, 3, 2, 0, 3, 2, 3, 6, 5, 9, 7, 6, 0, 3, 1, 9, 3
(list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..5000
EXAMPLE
17275390626^5 + 1 == 89599609377 (mod 10^11),
89599609377^5 + 1 == 74462890658 (mod 10^11),
74462890658^5 + 1 == 75576244769 (mod 10^11),
75576244769^5 + 1 == 34474674850 (mod 10^11),
34474674850^5 + 1 == 67812500001 (mod 10^11),
67812500001^5 + 1 == 39062500002 (mod 10^11),
39062500002^5 + 1 == 25000000033 (mod 10^11),
25000000033^5 + 1 == 25039135394 (mod 10^11),
25039135394^5 + 1 == 85011784225 (mod 10^11),
85011784225^5 + 1 == 17275390626 (mod 10^11).
CROSSREFS
Cf. A318327 (a_0), A318328 (a_1), A318329 (a_2), A318330 (a_3), A318331 (a_4), A318332 (a_5), this sequence (a_6), A318334 (a_7), A318335 (a_8), A318336 (a_9).
KEYWORD
nonn,base
AUTHOR
Seiichi Manyama, Aug 24 2018
STATUS
approved
A318334
The 10-adic integer a_7 = ...89599609377 satisfying a_7^5 + 1 = a_8, a_8^5 + 1 = a_9, ... , a_5^5 + 1 = a_6 and a_6^5 + 1 = a_7.
+10
10
7, 7, 3, 9, 0, 6, 9, 9, 5, 9, 8, 3, 9, 6, 6, 8, 5, 7, 0, 7, 9, 5, 1, 7, 5, 8, 0, 9, 0, 9, 5, 6, 0, 8, 1, 0, 3, 3, 7, 6, 5, 7, 4, 5, 4, 6, 2, 1, 7, 3, 7, 4, 7, 2, 5, 4, 6, 9, 3, 4, 0, 0, 0, 4, 4, 1, 7, 1, 4, 5, 0, 3, 2, 9, 1, 8, 3, 4, 6, 8, 5, 1, 9, 2, 9, 1, 4, 1, 2, 4, 9
(list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..5000
EXAMPLE
89599609377^5 + 1 == 74462890658 (mod 10^11),
74462890658^5 + 1 == 75576244769 (mod 10^11),
75576244769^5 + 1 == 34474674850 (mod 10^11),
34474674850^5 + 1 == 67812500001 (mod 10^11),
67812500001^5 + 1 == 39062500002 (mod 10^11),
39062500002^5 + 1 == 25000000033 (mod 10^11),
25000000033^5 + 1 == 25039135394 (mod 10^11),
25039135394^5 + 1 == 85011784225 (mod 10^11),
85011784225^5 + 1 == 17275390626 (mod 10^11),
17275390626^5 + 1 == 89599609377 (mod 10^11).
CROSSREFS
Cf. A318327 (a_0), A318328 (a_1), A318329 (a_2), A318330 (a_3), A318331 (a_4), A318332 (a_5), A318333 (a_6), this sequence (a_7), A318335 (a_8), A318336 (a_9).
KEYWORD
nonn,base
AUTHOR
Seiichi Manyama, Aug 24 2018
STATUS
approved
A318335
The 10-adic integer a_8 = ...74462890658 satisfying a_8^5 + 1 = a_9, a_9^5 + 1 = a_0, ... , a_6^5 + 1 = a_7 and a_7^5 + 1 = a_8.
+10
10
8, 5, 6, 0, 9, 8, 2, 6, 4, 4, 7, 5, 1, 1, 3, 0, 0, 4, 4, 9, 5, 3, 0, 1, 8, 2, 8, 4, 3, 6, 5, 0, 0, 5, 4, 7, 3, 6, 9, 3, 9, 9, 0, 3, 2, 6, 2, 6, 1, 7, 1, 8, 9, 1, 7, 0, 4, 9, 6, 0, 5, 9, 3, 7, 7, 1, 4, 9, 0, 0, 8, 8, 2, 7, 4, 6, 2, 0, 4, 1, 8, 6, 9, 0, 6, 3, 8, 9, 5, 9, 5
(list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..5000
EXAMPLE
74462890658^5 + 1 == 75576244769 (mod 10^11),
75576244769^5 + 1 == 34474674850 (mod 10^11),
34474674850^5 + 1 == 67812500001 (mod 10^11),
67812500001^5 + 1 == 39062500002 (mod 10^11),
39062500002^5 + 1 == 25000000033 (mod 10^11),
25000000033^5 + 1 == 25039135394 (mod 10^11),
25039135394^5 + 1 == 85011784225 (mod 10^11),
85011784225^5 + 1 == 17275390626 (mod 10^11),
17275390626^5 + 1 == 89599609377 (mod 10^11),
89599609377^5 + 1 == 74462890658 (mod 10^11).
CROSSREFS
Cf. A318327 (a_0), A318328 (a_1), A318329 (a_2), A318330 (a_3), A318331 (a_4), A318332 (a_5), A318333 (a_6), A318334 (a_7), this sequence (a_8), A318336 (a_9).
KEYWORD
nonn,base
AUTHOR
Seiichi Manyama, Aug 24 2018
STATUS
approved
A317850
The 10-adic integer x = ...603097394847873 satisfying x^7 + 1 = y and y^7 + 1 = x.
+10
6
3, 7, 8, 7, 4, 8, 4, 9, 3, 7, 9, 0, 3, 0, 6, 2, 5, 4, 0, 8, 1, 7, 5, 0, 6, 8, 5, 5, 3, 9, 7, 7, 0, 4, 0, 4, 1, 7, 6, 0, 7, 2, 2, 1, 2, 1, 8, 7, 6, 3, 6, 0, 3, 5, 2, 7, 5, 6, 2, 3, 1, 9, 8, 8, 1, 8, 4, 8, 0, 0, 6, 5, 5, 3, 1, 2, 4, 1, 2, 6, 3, 7, 6, 6, 6, 4, 1, 4, 0, 0, 0, 3, 6, 8, 3, 8, 3, 0, 9, 2
(list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
Data generated using calculator (first 15 terms) and MATLAB (next 85 terms). Conjecture: There exists a pair of 10-adic integers satisfying x^n + 1 = y and y^n + 1 = x iff n == 3, 7, or 15 (mod 20).
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..5000
EXAMPLE
603097394847873^7 + 1 == 480203107738498 (mod 10^15) and 480203107738498^7 + 1 == 603097394847873 (mod 10^15).
CROSSREFS
Cf. A317864 (y).
Cf. A318327-A318336.
KEYWORD
nonn,base
AUTHOR
Patrick A. Thomas, Sep 01 2018
EXTENSIONS
Offset changed to 0 by Seiichi Manyama, Sep 20 2018
STATUS
approved
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