A308458 Expansion of e.g.f. log(Sum_{k>=0} k^binomial(k,2) * x^k / k!).

1, 1, 23, 3994, 9745169, 470126386536, 558542572785461515, 19342808645467142112096240, 22528399370853856386499346950471953, 999999999774716004550606847948627702867525440, 1890591424701781041871514584507296209311760279398415565711

Offset: 1

Author

Seiichi Manyama, May 27 2019

Keywords

• nonn

Examples

			E.g.f.: x + x^2/2! + 23*x^3/3! + 3994*x^4/4! + 9745169*x^5/5! + 470126386536*x^6/6! + 558542572785461515*x^7/7! + ... .
		

Links

• Seiichi Manyama, Table of n, a(n) for n = 1..36

Crossrefs

Cf. A001187, A001865, A003027, A054941.

Programs

PARI

N=20; x='x+O('x^N); Vec(serlaplace(log(sum(k=0, N, k^binomial(k, 2)*x^k/k!))))