A375061 - OEIS

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A375061

Expansion of 1 / Sum_{k in Z} x^(2*k) / (1 - x^(5*k+2)).

1, 1, -1, -3, -1, 5, 5, -5, -13, -2, 21, 20, -18, -46, -8, 66, 62, -54, -135, -21, 188, 172, -147, -361, -57, 479, 433, -364, -882, -133, 1147, 1024, -850, -2039, -309, 2583, 2286, -1880, -4466, -662, 5573, 4889, -3987, -9403, -1392, 11541, 10059, -8147, -19087, -2794

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,4

LINKS

Table of n, a(n) for n=0..49.

FORMULA

G.f.: Product_{k>0} ((1-x^(5*k-2)) * (1-x^(5*k-3)))^3 / ((1-x^k) * (1-x^(5*k))).

PROG

(PARI) my(N=50, x='x+O('x^N)); Vec(1/sum(k=-N, N, x^(2*k)/(1-x^(5*k+2))))

(PARI) my(N=50, x='x+O('x^N)); Vec(prod(k=1, N, ((1-x^(5*k-2))*(1-x^(5*k-3)))^3/((1-x^k)*(1-x^(5*k)))))

CROSSREFS

Convolution inverse of A340455.