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A246244 Sum of ninth powers of coefficients in full expansion of (z_1+z_2+...+z_n)^n. 2
1, 1, 514, 10195797, 2703788516356, 5361940142039062505, 55063667396158825603112136, 2272169230481993564658922073502463, 312894608313254360747865383525129561090056, 124773193097402414339622625011223384066643153613969 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..75

FORMULA

a(n) = [x^n] (n!)^9 * (Sum_{j=0..n} x^j/(j!)^9)^n.

MAPLE

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

      add(b(n-j, i-1)*binomial(n, j)^8/j!, j=0..n)))

    end:

a:= n-> n!*b(n$2):

seq(a(n), n=0..15);

CROSSREFS

Column k=9 of A245397.

Sequence in context: A271760 A228999 A168126 * A257087 A254643 A322883

Adjacent sequences:  A246241 A246242 A246243 * A246245 A246246 A246247

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Aug 19 2014

STATUS

approved

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Last modified September 26 14:21 EDT 2022. Contains 356999 sequences. (Running on oeis4.)