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A245398 Sum of n-th powers of coefficients in full expansion of (z_1+z_2+...+z_n)^n. 2
1, 1, 6, 381, 591460, 41262262505, 207874071367118436, 110807909819808911886548575, 8558639841332633529404511878004186120, 124773193097402414339622625011223384066643153613969, 431220070110830123225191271755402469908417673177630594034899052340 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..30

FORMULA

a(n) = [x^n] (n!)^n * (Sum_{j=0..n} x^j/(j!)^n)^n.

a(n) = A245397(n,n).

MAPLE

b:= proc(n, i, k) option remember; `if`(n=0, 1, `if`(i<1, 0,

      add(b(n-j, i-1, k)*binomial(n, j)^(k-1)/j!, j=0..n)))

    end:

a:= n-> n!*b(n$3):

seq(a(n), n=0..12);

CROSSREFS

Main diagonal of A245397.

Sequence in context: A158041 A233212 A270558 * A078207 A261296 A060871

Adjacent sequences:  A245395 A245396 A245397 * A245399 A245400 A245401

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jul 21 2014

STATUS

approved

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Last modified April 5 17:03 EDT 2020. Contains 333245 sequences. (Running on oeis4.)