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A293566 E.g.f.: Product_{m>=0} exp(-x^(4*m+1)). 2
1, -1, 1, -1, 1, -121, 721, -2521, 6721, -378001, 5473441, -39972241, 199679041, -7005552841, 176899522801, -2186722497961, 17454339826561, -459473703430561, 16503993702423361, -306140370496394401, 3555223271216311681, -80917223353652470681 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Muniru A Asiru, Table of n, a(n) for n = 0..50

FORMULA

E.g.f.: exp(x/(x^4 - 1)).

MAPLE

seq(factorial(k) * coeftayl(product(exp(-x^(4*m + 1)), m = 0..k), x = 0, k), k = 0..50); # Muniru A Asiru, Oct 15 2017

MATHEMATICA

CoefficientList[Series[E^(x/(x^4 - 1)), {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Oct 13 2017 *)

PROG

(PARI) N=66; x='x+O('x^N); Vec(serlaplace(exp(x/(x^4-1))))

(PARI) N=66; x='x+O('x^N); Vec(serlaplace(1/prod(m=0, N, exp(x^(4*m+1)))))

CROSSREFS

E.g.f.: Product_{m>=0} exp(-x^(k*m+1)): A293116 (k=1), A293532 (k=2), A293565 (k=3), this sequence (k=4).

Cf. A293507.

Sequence in context: A141350 A235408 A190877 * A293507 A306452 A238250

Adjacent sequences:  A293563 A293564 A293565 * A293567 A293568 A293569

KEYWORD

sign

AUTHOR

Seiichi Manyama, Oct 12 2017

STATUS

approved

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Last modified August 19 04:27 EDT 2019. Contains 326109 sequences. (Running on oeis4.)