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A246241
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Sum of sixth 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, 66, 51033, 227263876, 3942914312505, 207874071367118436, 28034487027123336138967, 8522964991458712709499563784, 5302659152501095787067079018931409, 6255441983177258421672575234559926069140, 13154762734940720943667470423246456789300752691
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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!)^6 * (Sum_{j=0..n} x^j/(j!)^6)^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)^5/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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