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A245038
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Number of partitions of n where the minimal multiplicity of any part is 7.
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2
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1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 3, 3, 2, 4, 2, 3, 3, 6, 3, 6, 4, 6, 4, 6, 7, 9, 8, 9, 11, 14, 11, 19, 17, 20, 21, 25, 24, 31, 32, 36, 37, 44, 40, 52, 52, 65, 58, 70, 69, 83, 78, 93, 99, 111, 104, 126, 124, 142, 141, 177, 167, 201
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OFFSET
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7,15
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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, 7) -b(n$2, 8):
seq(a(n), n=7..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, 7] - b[n, n, 8];
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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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