A284322 Expansion of Product_{k>=0} (1 - x^(5*k+2))*(1 - x^(5*k+3)) in powers of x.

1, 0, -1, -1, 0, 1, 0, -1, -1, 1, 2, 1, -2, -2, 1, 3, 1, -3, -3, 2, 5, 1, -5, -5, 2, 7, 2, -7, -7, 4, 11, 3, -11, -11, 5, 15, 4, -15, -14, 8, 22, 6, -21, -21, 10, 30, 8, -29, -28, 15, 42, 11, -40, -39, 19, 56, 15, -53, -51, 27, 76, 20, -72, -70, 34, 99, 26, -94, -90

Offset

0,11

Links

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

Formula

a(n) = -(1/n)*Sum_{k=1..n} A284152(k)*a(n-k), a(0) = 1.

Mathematica

CoefficientList[Series[Product[(1 - x^(5k + 2)) ( 1 - x^(5k + 3)), {k, 0, 100}], {x, 0, 100}], x] (* Indranil Ghosh, Mar 25 2017 *)

Prog

(PARI) Vec(prod(k=0, 100, (1 - x^(5*k + 2)) * (1 - x^(5*k + 3))) + O(x^101)) \\ Indranil Ghosh, Mar 25 2017

Crossrefs

Cf. A003106, A284152, A284319, A284320, A284321.

Sequence in context: A366493 A352998 A339351 * A219607 A205451 A227899

Adjacent sequences: A284319 A284320 A284321 * A284323 A284324 A284325

Keyword

sign

Author

Seiichi Manyama, Mar 25 2017

Status

approved