

A289289


a(n) = A005259(n) mod (n+1)^3.


1



0, 5, 19, 37, 1, 149, 1, 165, 559, 5, 1, 1373, 1, 5, 2698, 2725, 1, 581, 1, 2445, 3160, 5, 1, 8285, 1751, 5, 15139, 9677, 1, 18005, 1, 31397, 16045, 5, 13450, 2669, 1, 5, 52801, 20365, 1, 20501, 1, 65333, 59425, 5, 1, 86621, 48707, 99005, 59029, 54173, 1, 99725
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OFFSET

0,2


LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000
Eric Weisstein's World of Mathematics, Apéry Number


FORMULA

If m = n + 1 is a prime and m >= 5, a(n) = 1.


PROG

(PARI) a(n) = sum(k=0, n, (binomial(n, k)*binomial(n+k, k))^2) % (n+1)^3; \\ Michel Marcus, Jul 02 2017


CROSSREFS

Cf. A005259, A276323.
Sequence in context: A255413 A031041 A029523 * A213631 A242589 A232057
Adjacent sequences: A289286 A289287 A289288 * A289290 A289291 A289292


KEYWORD

nonn


AUTHOR

Seiichi Manyama, Jul 01 2017


STATUS

approved



