%I #11 May 22 2024 11:33:41
%S 1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,5,5,6,6,7,7,
%T 8,8,9,9,10,10,11,11,12,12,13,13,14,14,16,16,18,19,21,22,25,26,29,31,
%U 34,36,40,42,46,49,53,56,61,64,69,73,78,82,88,92,98,103,109,114,121,126,133,139,146,152,161
%N Number of partitions of n such that (smallest part) > 5*(number of parts).
%C This sequence is different from A350898.
%F G.f.: Sum_{k>=0} x^(5*k^2+k)/Product_{j=1..k} (1-x^j).
%o (PARI) my(N=90, x='x+O('x^N)); Vec(sum(k=0, N, x^(5*k^2+k)/prod(j=1, k, 1-x^j)))
%Y Cf. A003106, A373073, A373074, A373075.
%Y Cf. A350899, A373070.
%K nonn
%O 0,23
%A _Seiichi Manyama_, May 22 2024