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A275097
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Number of set partitions of [8*n] such that within each block the numbers of elements from all residue classes modulo 8 are equal.
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2
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1, 1, 129, 286498, 4802367617, 386652630390626, 112344305783644570242, 96703375432646667737903621, 213426677887357366350726096998529, 1081530653290057746718498987187644516546, 11534313393388449518393789691807687515711518754
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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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Sum_{n>=0} a(n) * x^n / (n!)^8 = exp(Sum_{n>=1} x^n / (n!)^8). - Ilya Gutkovskiy, Jul 17 2020
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MAPLE
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a:= proc(n) option remember; `if`(n=0, 1, add(
binomial(n, j)^8*(n-j)*a(j), j=0..n-1)/n)
end:
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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