A393971 - OEIS

%I #10 Mar 05 2026 09:41:20

%S 1,1,2,2,2,3,3,3,4,4,6,6,6,7,9,10,10,11,12,15,16,17,19,21,23,25,29,30,

%T 33,37,40,43,47,51,55,61,65,71,77,83,89,97,103,112,122,131,141,151,

%U 161,173,188,199,214,230,247,264,282,300,320,344,366,391,417,445,474,505

%N Number of partitions p of n into distinct parts such that max(p) <= 3*min(p).

%F G.f.: Sum_{j>=1} q^j * Product_{k=j+1..3*j} (1+q^k).

%Y Cf. A241061, A241063, A393970.

%K nonn

%O 1,3

%A _Seiichi Manyama_, Mar 05 2026