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A293526 E.g.f.: exp(x^3/(1 - x^4)). 2
1, 0, 0, 6, 0, 0, 360, 5040, 0, 60480, 3628800, 39916800, 19958400, 3113510400, 130767436800, 1318571654400, 3487131648000, 355687428096000, 12813639597158400, 126713646259200000, 1013709170073600000, 85161707377883136000, 2819368492175499264000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..22.

FORMULA

E.g.f.: Product_{k>0} exp(x^(4*k-1)).

a(n) ~ exp(sqrt(n) - n - 1/4) * n^(n - 1/4) / 2. - Vaclav Kotesovec, Oct 15 2017

PROG

(PARI) N=66; x='x+O('x^N); Vec(serlaplace(exp(x^3/(1-x^4))))

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

CROSSREFS

E.g.f.: Product_{k>0} exp(x^(m*k-1)): A088009 (m=2), A293494 (m=3), this sequence (m=4).

Cf. A293507.

Sequence in context: A229510 A230787 A101109 * A293568 A192072 A060297

Adjacent sequences:  A293523 A293524 A293525 * A293527 A293528 A293529

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 11 2017

STATUS

approved

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Last modified October 25 00:01 EDT 2020. Contains 338010 sequences. (Running on oeis4.)