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A245041
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Number of partitions of n where the minimal multiplicity of any part is 10.
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2
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1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 4, 2, 3, 3, 3, 2, 4, 2, 3, 3, 6, 3, 6, 4, 6, 4, 6, 3, 7, 4, 9, 6, 11, 7, 13, 11, 14, 12, 17, 13, 25, 18, 24, 22, 30, 26, 35, 28, 37, 33, 49, 37, 53, 45, 56, 54, 67, 58
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OFFSET
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10,21
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LINKS
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MAPLE
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b:= proc(n, i, k) option remember; `if`(n=0, 1, `if`(i<1, 0,
b(n, i-1, k) +add(b(n-i*j, i-1, k), j=max(1, k)..n/i)))
end:
a:= n-> b(n$2, 10) -b(n$2, 11):
seq(a(n), n=10..100);
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MATHEMATICA
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b[n_, i_, k_] := b[n, i, k] = If[n == 0, 1, If[i < 1, 0, b[n, i - 1, k] + Sum[b[n - i*j, i - 1, k], {j, Max[1, k], n/i}]]];
a[n_] := b[n, n, 10] - b[n, n, 11];
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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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