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A351734 Expansion of e.g.f. exp( 3 * x * (exp(x) - 1) ). 4
1, 0, 6, 9, 120, 555, 5148, 39711, 378528, 3715011, 39838260, 452684463, 5463506304, 69553644771, 930940368036, 13054086036855, 191222363275968, 2918620069099395, 46309955947643124, 762335523354333855, 12995722456718984160, 229045407317491457763 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
a(n) = n! * Sum_{k=0..floor(n/2)} 3^k * Stirling2(n-k,k)/(n-k)!.
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(3*x*(exp(x)-1))))
(PARI) a(n) = n!*sum(k=0, n\2, 3^k*stirling(n-k, k, 2)/(n-k)!);
CROSSREFS
Sequence in context: A121233 A156180 A191011 * A053490 A265383 A367881
KEYWORD
nonn
AUTHOR
Seiichi Manyama, May 20 2022
STATUS
approved

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Last modified February 23 03:01 EST 2024. Contains 370265 sequences. (Running on oeis4.)