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A367079
E.g.f. satisfies A(x) = 1 + log(1 + x*A(x)^3).
2
1, 1, 5, 47, 654, 12084, 278682, 7708056, 248678784, 9168447600, 380274659760, 17524760349216, 888364833282000, 49125202031205936, 2942774373267939168, 189829708902667840320, 13118899353628035596544, 966975804677206274688000
OFFSET
0,3
COMMENTS
a(131) is negative. - Vaclav Kotesovec, Nov 07 2023
LINKS
FORMULA
a(n) = (3*n)! * Sum_{k=0..n} Stirling1(n,k)/(3*n-k+1)!.
MATHEMATICA
Table[(3*n)! * Sum[StirlingS1[n, k]/(3*n-k+1)!, {k, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Nov 07 2023 *)
PROG
(PARI) a(n) = (3*n)!*sum(k=0, n, stirling(n, k, 1)/(3*n-k+1)!);
CROSSREFS
KEYWORD
new,sign
AUTHOR
Seiichi Manyama, Nov 07 2023
STATUS
approved