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Number of partitions p of n such that max(p) <= 3*min(p).
5

%I #10 Mar 05 2026 09:41:32

%S 1,2,3,5,6,9,11,15,17,23,26,34,37,47,53,65,71,87,96,116,126,149,164,

%T 195,211,246,270,312,339,393,427,489,532,604,660,749,810,915,997,1120,

%U 1213,1361,1475,1648,1789,1985,2154,2394,2587,2863,3103,3422,3700,4080,4409,4845,5234

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

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

%Y Cf. A237824, A237825, A393972.

%K nonn

%O 1,2

%A _Seiichi Manyama_, Mar 05 2026