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A285287 Expansion of Product_{k>=0} 1/(1 + x^(4*k+1))^(4*k+1). 4
1, -1, 1, -1, 1, -6, 6, -6, 6, -15, 30, -30, 30, -43, 88, -123, 123, -140, 250, -385, 455, -476, 678, -1098, 1413, -1564, 1913, -2918, 4048, -4707, 5452, -7572, 10747, -13265, 15195, -19534, 27349, -35146, 41042, -50011, 67596, -88897, 106519, -126635, 164230 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

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

FORMULA

a(n) = (-1)^n * A285048(n).

MATHEMATICA

nmax = 50; CoefficientList[Series[Product[1/(1 + x^(4*k-3))^(4*k-3), {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Apr 16 2017 *)

CROSSREFS

Product_{k>=0} 1/(1 + x^(m*k+1))^(m*k+1): A284628 (m=2), A285286 (m=3), this sequence (m=4).

Cf. A285048, A285288.

Sequence in context: A173067 A233550 A092937 * A285048 A265830 A116571

Adjacent sequences:  A285284 A285285 A285286 * A285288 A285289 A285290

KEYWORD

sign

AUTHOR

Seiichi Manyama, Apr 16 2017

STATUS

approved

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Last modified June 24 23:57 EDT 2021. Contains 345445 sequences. (Running on oeis4.)