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A284322 Expansion of Product_{k>=0} (1 - x^(5*k+2))*(1 - x^(5*k+3)) in powers of x. 2
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 (list; graph; refs; listen; history; text; internal format)
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: A050362 A095686 A105258 * A219607 A205451 A227899

Adjacent sequences:  A284319 A284320 A284321 * A284323 A284324 A284325

KEYWORD

sign

AUTHOR

Seiichi Manyama, Mar 25 2017

STATUS

approved

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Last modified September 22 12:42 EDT 2019. Contains 327307 sequences. (Running on oeis4.)