A363076 - OEIS

%I #10 May 17 2023 08:34:54

%S 0,0,0,0,0,1,1,2,3,5,8,10,14,19,25,33,41,51,65,79,97,116,140,165,198,

%T 233,272,316,369,422,493,561,643,731,835,943,1072,1205,1359,1524,1717,

%U 1911,2147,2387,2665,2960,3295,3640,4049,4469,4950,5455,6028,6622,7310,8024,8826,9676,10632,11627,12765

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

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

%o (PARI) my(N=70, x='x+O('x^N)); concat([0, 0, 0, 0, 0], Vec(sum(k=1, N, x^(5*k+1)/prod(j=k, 4*k+1, 1-x^j))))

%Y Cf. A049820, A237828, A363075, A363077.

%Y Cf. A237826.

%K nonn

%O 1,8

%A _Seiichi Manyama_, May 17 2023