The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A353762

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A353762

a(n) = A353749(n) / gcd(A353749(n), A353750(n)).
(history; published version)

#10 by Michael De Vlieger at Thu May 12 16:13:18 EDT 2022

STATUS

proposed

approved

#9 by Antti Karttunen at Thu May 12 13:30:32 EDT 2022

STATUS

editing

proposed

#8 by Antti Karttunen at Thu May 12 13:01:26 EDT 2022

LINKS

Antti Karttunen, <a href="/A353762/b353762.txt">Table of n, a(n) for n = 1..10000</a>

Antti Karttunen, <a href="/A353762/a353762.txt">Data supplement: n, a(n) computed for n = 1..65537</a>

#7 by Antti Karttunen at Thu May 12 12:59:29 EDT 2022

LINKS

Antti Karttunen, <a href="/A353762/a353762.txt">Data supplement: n, a(n) computed for n = 1..65537</a>

STATUS

approved

editing

#6 by Michael De Vlieger at Wed May 11 10:27:19 EDT 2022

STATUS

proposed

approved

#5 by Antti Karttunen at Tue May 10 14:19:14 EDT 2022

STATUS

editing

proposed

#4 by Antti Karttunen at Tue May 10 14:15:14 EDT 2022

COMMENTS

Numerators Numerator of ratio A353749(n) / A353750(n).

#3 by Antti Karttunen at Tue May 10 06:19:52 EDT 2022

CROSSREFS

Cf. A000010, A000203, A006872, A062401, A064989, A336549, A336550, A353757, A353761, A353763 (denominators), A353764 (positions of 1's).

#2 by Antti Karttunen at Tue May 10 05:26:01 EDT 2022

NAME

allocated for Antti Karttunen

a(n) = A353749(n) / gcd(A353749(n), A353750(n)).

DATA

1, 1, 2, 1, 3, 1, 15, 1, 2, 1, 35, 2, 22, 15, 3, 4, 26, 1, 51, 1, 15, 35, 209, 1, 6, 11, 3, 1, 161, 1, 435, 1, 35, 13, 45, 2, 62, 51, 22, 1, 37, 15, 123, 7, 6, 209, 989, 8, 175, 3, 26, 44, 611, 3, 35, 5, 51, 161, 1537, 1, 118, 435, 15, 16, 33, 35, 2013, 26, 209, 15, 2345, 1, 142, 31, 12, 17, 525, 11, 949, 4, 432

OFFSET

1,3

COMMENTS

Numerators of ratio A353749(n) / A353750(n).

LINKS

<a href="/index/Pri#prime_indices">Index entries for sequences computed from indices in prime factorization</a>

<a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>

FORMULA

a(n) = A353749(n) / A353761(n) = A353749(n) / gcd(A353749(n), A353750(n)).

PROG

(PARI)

A064989(n) = { my(f=factor(n>>valuation(n, 2))); for(i=1, #f~, f[i, 1] = precprime(f[i, 1]-1)); factorback(f); };

A353749(n) = (eulerphi(n)*A064989(n));

A353762(n) = { my(s=sigma(n), u=A353749(n)); (u / gcd(A353749(s), u)); };

CROSSREFS

Cf. A000010, A000203, A006872, A062401, A064989, A336549, A336550, A353757, A353761, A353763 (denominators).

KEYWORD

allocated

nonn,frac

AUTHOR

Antti Karttunen, May 10 2022

STATUS

approved

editing

#1 by Antti Karttunen at Fri May 06 22:37:49 EDT 2022

NAME

allocated for Antti Karttunen

KEYWORD

allocated

STATUS

approved