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A375869
E.g.f. satisfies A(x) = exp( 3 * (exp(x*A(x)^(2/3)) - 1) ).
1
1, 3, 24, 327, 6405, 164856, 5276523, 202365351, 9055962270, 463552982301, 26725378964169, 1714193590625478, 121100759112660789, 9344673700445352639, 782093803535217656256, 70570503124491323693523, 6829746633650550406177713, 705729134240394228512985960
OFFSET
0,2
FORMULA
E.g.f.: B(x)^3, where B(x) is the e.g.f. of A349598.
a(n) = 3 * Sum_{k=0..n} (2*n+3)^(k-1) * Stirling2(n,k).
PROG
(PARI) a(n) = 3*sum(k=0, n, (2*n+3)^(k-1)*stirling(n, k, 2));
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Sep 01 2024
STATUS
approved