A357348 E.g.f. satisfies A(x) = (exp(x * exp(A(x))) - 1) * exp(3 * A(x)).

0, 1, 9, 172, 5181, 214196, 11279542, 722242795, 54482959375, 4732518179422, 465226448603533, 51061919634063284, 6189640391474229790, 821277806639279795053, 118394082630978607655201, 18426248367244130561233924, 3079294928622816257125500821

Offset

0,3

Links

Table of n, a(n) for n=0..16.

Formula

a(n) = Sum_{k=1..n} (n+3*k)^(k-1) * Stirling2(n,k).

Prog

(PARI) a(n) = sum(k=1, n, (n+3*k)^(k-1)*stirling(n, k, 2));

Crossrefs

Cf. A052888, A357346, A357347.

Sequence in context: A266856 A141441 A225813 * A357345 A336728 A305465

Adjacent sequences: A357345 A357346 A357347 * A357349 A357350 A357351

Keyword

nonn

Author

Seiichi Manyama, Sep 25 2022

Status

approved