A289289 a(n) = A005259(n) mod (n+1)^3.

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

Offset: 0

Author

Seiichi Manyama, Jul 01 2017

Keywords

• nonn

Links

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

Crossrefs

Cf. A005259, A276323.

Programs

PARI

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

Formula

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