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A246244
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Sum of ninth 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, 514, 10195797, 2703788516356, 5361940142039062505, 55063667396158825603112136, 2272169230481993564658922073502463, 312894608313254360747865383525129561090056, 124773193097402414339622625011223384066643153613969
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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!)^9 * (Sum_{j=0..n} x^j/(j!)^9)^n.
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MAPLE
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b:= proc(n, i) option remember; `if`(n=0 or i=1, 1,
add(b(n-j, i-1)*binomial(n, j)^9, j=0..n))
end:
a:= n-> b(n$2):
seq(a(n), n=0..15);
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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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