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A355128 E.g.f. A(x) satisfies A(x) = 1 + x * A(2 * (exp(x) - 1)). 1
1, 1, 4, 54, 1928, 167770, 34128972, 15867798142, 16621680303888, 38813463431274402, 200266228576991017940, 2265670919773168963168454, 55816752493202168837392763544, 2976116188645489878229876218205674, 341574630434025162744892242114482410332 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..14.

FORMULA

a(0) = 1; a(n) = n * Sum_{k=0..n-1} 2^k * Stirling2(n-1,k) * a(k).

a(n) = n * A355131(n-1) for n>0.

PROG

(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=i*sum(j=0, i-1, 2^j*stirling(i-1, j, 2)*v[j+1])); v;

CROSSREFS

Cf. A048801, A355100, A355131.

Sequence in context: A284747 A003955 A182264 * A355126 A094154 A168510

Adjacent sequences:  A355125 A355126 A355127 * A355129 A355130 A355131

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Jun 20 2022

STATUS

approved

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Last modified October 5 05:04 EDT 2022. Contains 357248 sequences. (Running on oeis4.)