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A362656 E.g.f. satisfies A(x) = exp( x * exp(x) * A(x)^3 ). 2
1, 1, 9, 145, 3569, 119041, 5025145, 256991953, 15448193633, 1067634195841, 83414064659561, 7270683884044945, 699503964027087697, 73631519384051331457, 8417768844410686595801, 1038658083084399115865041, 137579671405398060549801665 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
Eric Weisstein's World of Mathematics, Lambert W-Function.
FORMULA
E.g.f.: exp( -LambertW(-3*x * exp(x))/3 ).
a(n) = Sum_{k=0..n} k^(n-k) * (3*k+1)^(k-1) * binomial(n,k).
PROG
(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-lambertw(-3*x*exp(x))/3)))
CROSSREFS
Cf. A052752.
Sequence in context: A331329 A064091 A132060 * A320333 A178185 A244822
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Apr 28 2023
STATUS
approved

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Last modified April 21 11:18 EDT 2024. Contains 371853 sequences. (Running on oeis4.)