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A336441 a(n) = (n!)^n * [x^n] exp(Sum_{k>=1} x^k / k^n). 0
1, 1, 3, 71, 30232, 435772624, 357189846148256, 25740403176657987904960, 234446578865185870182814945640448, 363178754511398964104990417951192651478859776, 122088173887703514886799765831338556792096849201928981184512 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..10.

MATHEMATICA

Table[(n!)^n SeriesCoefficient[Exp[Sum[x^k/k^n, {k, 1, n}]], {x, 0, n}], {n, 0, 10}]

b[n_, k_] := If[n == 0, 1, (1/n) Sum[(Binomial[n, j] (n - j - 1)!)^k (n - j) b[j, k], {j, 0, n - 1}]]; a[n_] := b[n, n]; Table[a[n], {n, 0, 10}]

CROSSREFS

Cf. A000142, A074707, A193436, A217145, A275044.

Sequence in context: A226844 A300540 A334124 * A073589 A089537 A321530

Adjacent sequences:  A336438 A336439 A336440 * A336442 A336443 A336444

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jul 21 2020

STATUS

approved

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Last modified May 22 09:12 EDT 2022. Contains 353941 sequences. (Running on oeis4.)