

A244517


Number of partitions of n where the minimal multiplicity of any part is 4.


2



0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 4, 2, 3, 3, 6, 3, 6, 4, 10, 6, 10, 7, 19, 13, 17, 16, 31, 22, 34, 28, 48, 39, 54, 49, 76, 62, 84, 79, 120, 96, 133, 124, 179, 162, 202, 193, 275, 249, 315, 300, 412, 379, 480, 467, 603, 577, 711, 696, 905, 850, 1035, 1038, 1307, 1258, 1509, 1511, 1864, 1834, 2185, 2171, 2673, 2636
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OFFSET

1,12


COMMENTS



LINKS



MAPLE

b:= proc(n, i, k) option remember; `if`(n=0, 1, `if`(i<1, 0,
b(n, i1, k) +add(b(ni*j, i1, k), j=max(1, k)..n/i)))
end:
a:= n> b(n$2, 4) b(n$2, 5):
seq(a(n), n=1..100);


MATHEMATICA

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, 4]  b[n, n, 5];


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



