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URL: https://oeis.org/A341465

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A341465
Number of partitions of n into 6 distinct nonprime parts.
9
1, 0, 1, 1, 2, 2, 4, 3, 6, 5, 8, 10, 13, 13, 18, 20, 26, 30, 36, 40, 49, 55, 65, 76, 88, 97, 114, 128, 146, 167, 187, 209, 237, 262, 294, 331, 366, 405, 449, 496, 547, 608, 663, 730, 798, 875, 953, 1050, 1136, 1239, 1342, 1463, 1577, 1723, 1849, 2008, 2159, 2334
OFFSET
38,5
MAPLE
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, 6):
seq(a(n), n=38..95); # Alois P. Heinz, Feb 12 2021
MATHEMATICA
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, 6];
Table[a[n], {n, 38, 95}] (* Jean-François Alcover, Feb 23 2022, after Alois P. Heinz *)
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Feb 12 2021
STATUS
approved