cp's OEIS Frontend

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

%I A301512 #9 Mar 23 2018 18:24:46
%S A301512 1,1,1,2,3,4,6,7,11,14,19,23,35,39,54,66,91,104,142,165,214,257,328,
%T A301512 378,496,571,720,848,1061,1215,1532,1763,2175,2537,3105,3574,4364,
%U A301512 5017,6062,7020,8416,9659,11621,13343,15859,18218,21620,24769,29212,33436,39354
%N A301512 Number of distinct hook length sets of partitions of n.
%p A301512 h:= l-> (n-> {{seq(seq(1+l[i]-j+add(`if`(l[k]<j, 0, 1),
%p A301512             k=i+1..n), j=1..l[i]), i=1..n)}})(nops(l)):
%p A301512 g:= (n, i, l)-> `if`(n=0 or i=1, h([l[], 1$n]),
%p A301512     {g(n, i-1, l)[], g(n-i, min(n-i, i), [l[], i])[]}):
%p A301512 a:= n-> nops(g(n$2, [])):
%p A301512 seq(a(n), n=0..30);
%Y A301512 Cf. A180652, A301513.
%K A301512 nonn
%O A301512 0,4
%A A301512 _Alois P. Heinz_, Mar 22 2018