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A246245 Sum of tenth powers of coefficients in full expansion of (z_1+z_2+...+z_n)^n. 2
1, 1, 1026, 60820473, 64146764716036, 631284899540195312505, 38539161299138154741325704036, 11011511482200093499929279574758403927, 11981061614421454177965724891826362153433952264, 42406820883646957465685129173683494532584922157233295569 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..69

FORMULA

a(n) = [x^n] (n!)^10 * (Sum_{j=0..n} x^j/(j!)^10)^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)^9/j!, j=0..n)))

    end:

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

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

CROSSREFS

Column k=10 of A245397.

Sequence in context: A271761 A229000 A168153 * A235692 A247947 A066133

Adjacent sequences:  A246242 A246243 A246244 * A246246 A246247 A246248

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Aug 19 2014

STATUS

approved

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Last modified January 19 21:47 EST 2020. Contains 331066 sequences. (Running on oeis4.)