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A284316 Expansion of Product_{k>=0} (1 - x^(4*k+3)) in powers of x. 2
1, 0, 0, -1, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 1, -1, 0, 0, 2, -1, 0, -1, 2, -1, 0, -1, 3, -1, 0, -2, 3, -1, 0, -3, 4, -1, 1, -4, 4, -1, 1, -5, 5, -1, 2, -7, 5, -1, 3, -8, 6, -1, 5, -10, 6, -2, 6, -12, 7, -2, 9, -14, 7, -3, 11, -16, 8, -4, 15, -19, 8, -6, 18, -21, 9 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,19

LINKS

Table of n, a(n) for n=0..74.

FORMULA

a(n) = -(1/n)*Sum_{k=1..n} A050452(k)*a(n-k), a(0) = 1.

MATHEMATICA

CoefficientList[Series[Product[1 - x^(4k + 3), {k, 0, 100}], {x, 0, 100}], x] (* Indranil Ghosh, Mar 25 2017 *)

PROG

(PARI) Vec(prod(k=0, 100, 1 - x^(4*k+3)) + O(x^101)) \\ Indranil Ghosh, Mar 25 2017

CROSSREFS

Cf. Product_{k>=0} (1 - x^(m*k+m-1)): A081362 (m=2), A284315 (m=3), this sequence (m=4), A284317 (m=5).

Cf. A050452, A147599.

Sequence in context: A170963 A170964 A170965 * A147599 A170969 A170970

Adjacent sequences:  A284313 A284314 A284315 * A284317 A284318 A284319

KEYWORD

sign

AUTHOR

Seiichi Manyama, Mar 25 2017

STATUS

approved

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Last modified November 13 23:01 EST 2019. Contains 329106 sequences. (Running on oeis4.)