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A320822
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Number of partitions of n with exactly nine sorts of part 1 which are introduced in ascending order.
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2
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1, 45, 1156, 22321, 360704, 5158652, 67512671, 826325926, 9601854284, 107074391802, 1155110296163, 12128784832510, 124544257464575, 1255354199998891, 12457896065009874, 122014591067156240, 1181759128040203056, 11337243349606910986, 107879491494316487583
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OFFSET
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9,2
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LINKS
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FORMULA
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MAPLE
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b:= proc(n, i, k) option remember; `if`(n=0 or i<2, add(
Stirling2(n, j), j=0..k), add(b(n-i*j, i-1, k), j=0..n/i))
end:
a:= n-> (k-> b(n$2, k)-b(n$2, k-1))(9):
seq(a(n), n=9..35);
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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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