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A293049 E.g.f.: exp(x^3/(1 - x)). 5
1, 0, 0, 6, 24, 120, 1080, 10080, 100800, 1149120, 14515200, 199584000, 2973801600, 47740492800, 820928908800, 15049152518400, 292919058432000, 6031865968128000, 130990787582054400, 2991455760887193600, 71659101232502784000, 1796424431562528768000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

For n > 4, a(n) is a multiple of 10. - Muniru A Asiru, Oct 09 2017

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..444

FORMULA

E.g.f.: Product_{i>2} exp(x^i).

a(n) ~ n^(n-1/4) * exp(-5/2 + 2*sqrt(n) - n) / sqrt(2). - Vaclav Kotesovec, Sep 30 2017

MAPLE

a:= proc(n) option remember; `if`(n=0, 1, add(

      a(n-j)*binomial(n-1, j-1)*j!, j=3..n))

    end:

seq(a(n), n=0..25);  # Alois P. Heinz, Sep 30 2017

seq(factorial(k)*coeftayl(exp(x^3/(1-x)), x = 0, k), k=0..50); # Muniru A Asiru, Oct 09 2017

MATHEMATICA

CoefficientList[Series[E^(x^3/(1-x)), {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Sep 30 2017 *)

PROG

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

CROSSREFS

Column k=2 of A293053.

E.g.f.: Product_{i>k} exp(x^i): A000262 (k=0), A052845 (k=1), this sequence (k=2), A293050 (k=3).

Sequence in context: A293487 A047865 A182083 * A293123 A060249 A052557

Adjacent sequences:  A293046 A293047 A293048 * A293050 A293051 A293052

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Sep 29 2017

STATUS

approved

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Last modified February 25 04:32 EST 2020. Contains 332217 sequences. (Running on oeis4.)