A306188 Number of n-times strict partitions of n.

1, 1, 1, 4, 11, 41, 154, 904, 4927, 35398, 234454, 1965976, 16589885, 157974740, 1480736877, 16406078770, 177232251249, 2151696598160, 25726133391191, 346746928400037, 4607758596471426, 67562340652906942, 969200312705046531, 15386051753617360150

Offset: 0

Author

Alois P. Heinz, Jan 27 2019

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..480

Crossrefs

Cf. A000009, A261280, A306187.

Programs

Maple

b:= proc(n, i, k) option remember; `if`(i*(i+1)/2 b(n$3):
seq(a(n), n=0..25);

Mathematica

b[n_, i_, k_] := b[n, i, k] = If[i(i+1)/2 < n, 0, If[n == 0 || k == 0, 1, b[n, i - 1, k] + b[i, i, k - 1] b[n - i, Min[n - i, i - 1], k]]];
a[n_] := b[n, n, n];
a /@ Range[0, 25] (* Jean-François Alcover, Dec 08 2020, after Alois P. Heinz *)