A373070 Number of partitions of n such that (smallest part) >= 5*(number of parts).
1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 15, 16, 17, 19, 20, 22, 24, 26, 28, 31, 33, 36, 39, 42, 45, 49, 52, 56, 60, 64, 68, 73, 77, 82, 87, 92, 97, 103, 108, 114, 120, 126, 132, 139, 145, 153, 160, 168, 176, 186, 194
Offset: 0
Keywords
Programs
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PARI
my(N=90, x='x+O('x^N)); Vec(sum(k=0, N, x^(5*k^2)/prod(j=1, k, 1-x^j)))
Formula
G.f.: Sum_{k>=0} x^(5*k^2)/Product_{j=1..k} (1-x^j).
Comments