A301512 Number of distinct hook length sets of partitions of n.

1, 1, 1, 2, 3, 4, 6, 7, 11, 14, 19, 23, 35, 39, 54, 66, 91, 104, 142, 165, 214, 257, 328, 378, 496, 571, 720, 848, 1061, 1215, 1532, 1763, 2175, 2537, 3105, 3574, 4364, 5017, 6062, 7020, 8416, 9659, 11621, 13343, 15859, 18218, 21620, 24769, 29212, 33436, 39354

Offset: 0

Author

Alois P. Heinz, Mar 22 2018

Keywords

• nonn

Crossrefs

Cf. A180652, A301513.

Programs

Maple

h:= l-> (n-> {{seq(seq(1+l[i]-j+add(`if`(l[k] `if`(n=0 or i=1, h([l[], 1$n]),
    {g(n, i-1, l)[], g(n-i, min(n-i, i), [l[], i])[]}):
a:= n-> nops(g(n$2, [])):
seq(a(n), n=0..30);