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A320379
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Number of parts in all partitions of n with largest multiplicity nine.
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2
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9, 0, 10, 10, 21, 21, 44, 44, 80, 101, 152, 178, 279, 330, 476, 594, 813, 1004, 1359, 1669, 2208, 2743, 3540, 4365, 5610, 6876, 8697, 10669, 13349, 16290, 20258, 24603, 30334, 36773, 44999, 54312, 66122, 79490, 96214, 115337, 138887, 165891, 198941, 236783
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OFFSET
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9,1
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LINKS
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FORMULA
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a(n) ~ log(10) * exp(Pi*sqrt(3*n/5)) / (2 * Pi * 15^(1/4) * n^(1/4)). - Vaclav Kotesovec, Oct 25 2018
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MAPLE
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b:= proc(n, i, k) option remember; `if`(n=0, [1, 0], `if`(i<1, 0,
add((l->l+[0, l[1]*j])(b(n-i*j, i-1, k)), j=0..min(n/i, k))))
end:
a:= n-> (k-> (b(n$2, k)-b(n$2, k-1))[2])(9):
seq(a(n), n=9..50);
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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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