A373073 Number of partitions of n such that (smallest part) > 2*(number of parts).
1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 8, 9, 10, 12, 13, 15, 17, 19, 21, 24, 26, 29, 32, 35, 38, 43, 46, 51, 56, 62, 67, 75, 81, 90, 98, 108, 117, 130, 140, 154, 167, 183, 197, 216, 233, 254, 274, 298, 321, 350, 376, 408, 440, 477, 513, 556, 598, 647
Offset: 0
Keywords
Programs
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PARI
my(N=70, x='x+O('x^N)); Vec(sum(k=0, N, x^(2*k^2+k)/prod(j=1, k, 1-x^j)))
Formula
G.f.: Sum_{k>=0} x^(2*k^2+k)/Product_{j=1..k} (1-x^j).