A373869 - OEIS

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A373869

a(n) = Sum_{k=1..n} k! * k^(n-3) * Stirling1(n,k).

4

0, 1, 0, 2, 26, 674, 28894, 1848216, 165229560, 19698788448, 3022496261616, 580460752264656, 136441193196585408, 38540172064949405616, 12883204327833557091984, 5030833813902039858261504, 2269484487197629285690675584, 1171368942033975021150888242304

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,4

LINKS

Table of n, a(n) for n=0..17.

FORMULA

E.g.f.: Sum_{k>=1} log(1 + k*x)^k / k^3.

PROG

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

CROSSREFS

Cf. A373870, A373871, A373872.

Cf. A320083, A373857, A373874.

Sequence in context: A377632 A090247 A371296 * A371297 A206601 A156211

Adjacent sequences: A373866 A373867 A373868 * A373870 A373871 A373872

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Jun 20 2024

STATUS

approved