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A241635
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Number of compositions of n with exactly ten descents.
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3
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89, 1529, 15072, 109700, 651755, 3333143, 15159290, 62673818, 239267852, 853417204, 2869778022, 9163554647, 27947044811, 81799126374, 230699706092, 629085587197, 1663426352840, 4275866388599, 10708451601656, 26178837135330, 62580214195713, 146503017803381
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OFFSET
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30,1
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LINKS
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MAPLE
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b:= proc(n, i) option remember;
`if`(n=0, 1, convert(series(add(b(n-j, j)*
`if`(j<i, x, 1), j=1..n), x, 11), polynom))
end:
a:= n-> coeff(b(n, 0), x, 10):
seq(a(n), n=30..55);
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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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