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A246245
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Sum of tenth powers of coefficients in full expansion of (z_1+z_2+...+z_n)^n.
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2
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1, 1, 1026, 60820473, 64146764716036, 631284899540195312505, 38539161299138154741325704036, 11011511482200093499929279574758403927, 11981061614421454177965724891826362153433952264, 42406820883646957465685129173683494532584922157233295569
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) = [x^n] (n!)^10 * (Sum_{j=0..n} x^j/(j!)^10)^n.
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MAPLE
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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);
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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