

A293120


E.g.f.: exp(x^2/(1+x)).


3



1, 0, 2, 6, 36, 240, 1920, 17640, 183120, 2116800, 26943840, 374220000, 5628934080, 91122071040, 1579034096640, 29155689763200, 571308920582400, 11838533804697600, 258608278645516800, 5938673374272038400, 143003892952893772800
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OFFSET

0,3


LINKS

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


FORMULA

a(n) = (1)^n * A052845(n).
a(n) ~ (1)^n * n^(n1/4) * exp(3/2 + 2*sqrt(n)  n)/sqrt(2).  Vaclav Kotesovec, Sep 30 2017


MATHEMATICA

CoefficientList[Series[E^(x^2/(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^2/(1+x))))


CROSSREFS

Column k=1 of A293133.
Cf. A111884, A293121.
Cf. A052845.
Sequence in context: A002868 A002869 A052845 * A052832 A058583 A075096
Adjacent sequences: A293117 A293118 A293119 * A293121 A293122 A293123


KEYWORD

sign


AUTHOR

Seiichi Manyama, Sep 30 2017


STATUS

approved



