cp's OEIS Frontend

A301513 Number of distinct hook length sets of strict partitions of n.

%I A301513 #7 Mar 23 2018 18:25:15
%S A301513 1,1,1,2,2,3,4,5,6,7,10,10,15,15,21,23,29,31,41,42,53,59,73,79,94,107,
%T A301513 125,140,160,180,208,235,260,299,331,379,420,474,532,596,670,735,835,
%U A301513 917,1022,1136,1265,1388,1562,1710,1910,2098,2339,2543,2834,3110,3421,3765,4158,4546,5016
%N A301513 Number of distinct hook length sets of strict partitions of n.
%p A301513 h:= l-> (n-> {{seq(seq(1+l[i]-j+add(`if`(l[k]<j, 0, 1),
%p A301513             k=i+1..n), j=1..l[i]), i=1..n)}})(nops(l)):
%p A301513 g:= (n, i, l)-> `if`(i*(i+1)/2<n, {}, `if`(n=0, h(l),
%p A301513     {g(n, i-1, l)[], g(n-i, min(n-i, i-1), [l[], i])[]})):
%p A301513 a:= n-> nops(g(n$2, [])):
%p A301513 seq(a(n), n=0..40);
%Y A301513 Cf. A000009, A301512.
%K A301513 nonn
%O A301513 0,4
%A A301513 _Alois P. Heinz_, Mar 22 2018