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Number of partitions of n such that 4*(least part) <= greatest part.
1

%I #13 May 27 2023 10:33:05

%S 0,0,0,0,1,2,4,7,12,19,29,42,61,85,119,161,217,288,380,496,643,826,

%T 1055,1340,1695,2129,2663,3316,4113,5084,6260,7681,9394,11456,13929,

%U 16892,20428,24646,29658,35618,42669,51021,60872,72496,86165,102239,121078,143171,168995,199187,234380,275414

%N Number of partitions of n such that 4*(least part) <= greatest part.

%F G.f.: Sum_{i>=1} Sum_{j>=0} x^(5*i+j) /Product_{k=i..4*i+j} (1-x^k).

%Y Cf. A237821, A363211.

%Y Cf. A237826, A363076.

%K nonn

%O 1,6

%A _Seiichi Manyama_, May 27 2023