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A246240
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Sum of fifth 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, 34, 9237, 11007556, 41262262505, 393602334214536, 8250608306349317503, 341379009411431516029576, 25693424488177173143564108049, 3298778490446719483156753593432700, 686045693667123232536420797701863401231, 221475400673152122602874526565943771742514376
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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!)^5 * (Sum_{j=0..n} x^j/(j!)^5)^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)^4/j!, j=0..n)))
end:
a:= n-> 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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