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A341468
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Number of partitions of n into 9 distinct nonprime parts.
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2
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1, 1, 1, 1, 2, 2, 4, 5, 6, 7, 11, 12, 18, 20, 25, 30, 38, 45, 57, 67, 81, 95, 114, 133, 162, 187, 219, 255, 297, 343, 401, 462, 529, 607, 696, 793, 910, 1032, 1168, 1324, 1497, 1689, 1905, 2142, 2400, 2692, 3009, 3362, 3754, 4182, 4643, 5165
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OFFSET
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79,5
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LINKS
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MAPLE
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b:= proc(n, i, t) option remember; `if`(n=0,
`if`(t=0, 1, 0), `if`(i<t or t<1, 0, b(n, i-1, t)+
`if`(isprime(i), 0, b(n-i, min(n-i, i-1), t-1))))
end:
a:= n-> b(n$2, 9):
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MATHEMATICA
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b[n_, i_, t_] := b[n, i, t] = If[n == 0,
If[t == 0, 1, 0], If[i < 1 || t < 1, 0, b[n, i - 1, t] +
If[PrimeQ[i], 0, b[n - i, Min[n - i, i - 1], t - 1], 0]]];
a[n_] := b[n, n, 9];
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CROSSREFS
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Cf. A005171, A018252, A096258, A219203, A302479, A341457, A341461, A341462, A341464, A341465, A341466, A341467, A341469.
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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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