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A293565 E.g.f.: Product_{m>=0} exp(-x^(3*m+1)). 1
1, -1, 1, -1, -23, 119, -359, -4201, 58801, -359857, -2121839, 74851919, -784376999, -1072414201, 192596540137, -3167640042841, 9241215940321, 860635956717599, -21290802661288799, 157132294452113183, 5980504635868174921, -220612220726623344361 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..21.

FORMULA

E.g.f.: exp(x/(x^3 - 1)).

MATHEMATICA

CoefficientList[Series[E^(x/(x^3 - 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^3-1))))

(PARI) N=66; x='x+O('x^N); Vec(serlaplace(1/prod(m=0, N, exp(x^(3*m+1)))))

CROSSREFS

E.g.f.: Product_{m>=0} exp(-x^(k*m+1)): A293116 (k=1), A293532 (k=2), this sequence (k=3), A293566 (k=4).

Cf. A293493.

Sequence in context: A253679 A303411 A069756 * A099068 A220408 A044355

Adjacent sequences:  A293562 A293563 A293564 * A293566 A293567 A293568

KEYWORD

sign

AUTHOR

Seiichi Manyama, Oct 12 2017

STATUS

approved

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Last modified September 20 22:20 EDT 2019. Contains 327252 sequences. (Running on oeis4.)