A352530 Expansion of 1/Sum_{k>=0} x^(k^5).

1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, 1, -2, 3, -4, 5, -6, 7, -8, 9, -10, 11, -12, 13, -14, 15, -16, 17, -18, 19, -20, 21, -22, 23, -24, 25, -26, 27, -28, 29, -30, 31, -31, 30, -28, 25, -21, 16, -10, 3, 5, -14, 24, -35, 47, -60, 74, -89, 105, -122

Offset

0,35

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Prog

(PARI) my(N=99, x='x+O('x^N)); Vec(1/sum(k=0, N^(1/5), x^k^5))
(PARI) a(n) = if(n==0, 1, -sum(k=1, n, ispower(k, 5)*a(n-k)));

Crossrefs

Cf. A000584, A317665, A323633, A352529.

Sequence in context: A167975 A008684 A188462 * A058321 A318892 A323404

Adjacent sequences: A352527 A352528 A352529 * A352531 A352532 A352533

Keyword

sign

Author

Seiichi Manyama, Mar 19 2022

Status

approved