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A332989
a(n) is the smallest number writable in n different ways as the sum of two distinct nonzero pentagonal numbers.
8
6, 211, 2999, 13352, 205427, 250927, 1134927, 2177527, 5002427, 6422352, 17349697, 30135652, 45997927, 55075502, 168570052, 130917177, 101275552, 249483677, 441561407, 433742427, 771789552, 1546505052, 1316582177, 1701923302, 2288827477, 1073520852, 3110207127
OFFSET
1,1
COMMENTS
I conjecture this sequence is infinite.
LINKS
EXAMPLE
211 can be written 35 + 176 and 1 + 210;
2999 can be written 852 + 2147, 247 + 2752, 117 + 2882;
13352 = P(52) + P(79) = P(29) + P(90) = P(17) + (93) = P(10) + P(94).
PROG
(PARI) a(n) = for(k=1, oo, if(sum(i=1, sqrt(1+12*k)\6, sqrt(1+24*k+12*i-36*i*i)%6==5)==n, return(k))); \\ Jinyuan Wang, Mar 06 2020
CROSSREFS
Cf. A093195 (analog sequence for perfect squares).
Sequence in context: A093536 A002037 A071367 * A370128 A030265 A275567
KEYWORD
nonn
AUTHOR
Olivier GĂ©rard, Mar 05 2020
EXTENSIONS
Name clarified by Jinyuan Wang, Mar 06 2020
Terms a(12) and beyond from Giovanni Resta, Mar 08 2020
STATUS
approved