A362660 - OEIS

A362660

E.g.f. satisfies A(x) = exp( x * exp(x^2/2) * A(x) ).

1, 1, 3, 19, 161, 1791, 24847, 413449, 8036625, 178852753, 4486426091, 125279093259, 3854964555697, 129618443364463, 4728625129171959, 186034319795094481, 7851808690935373793, 353903271319498588641, 16966669198377512202643

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..18.

Eric Weisstein's World of Mathematics, Lambert W-Function.

FORMULA

E.g.f.: exp( -LambertW(-x * exp(x^2/2)) ).

a(n) = n! * Sum_{k=0..floor(n/2)} (n-2*k)^k * (n-2*k+1)^(n-2*k-1) / (2^k * k! * (n-2*k)!).

PROG

(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-lambertw(-x*exp(x^2/2)))))

CROSSREFS

Cf. A273954, A362661.

Cf. A354550, A362654.

Sequence in context: A320352 A301921 A054765 * A232691 A057719 A289258

Adjacent sequences: A362657 A362658 A362659 * A362661 A362662 A362663

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Apr 29 2023

STATUS

approved