This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A373078 #20 May 23 2024 11:56:58
%S A373078 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,5,7,10,13,18,23,30,37,47,57,70,
%T A373078 84,101,119,141,164,192,221,255,291,333,377,427,480,540,603,674,748,
%U A373078 831,918,1014,1115,1226,1342,1469,1602,1748,1899,2064,2236,2423,2618,2829,3049,3288,3537,3807
%N A373078 Number of partitions of n into distinct parts such that number of parts is a multiples of 5.
%F A373078 G.f.: Sum_{k>=0} x^(5*k*(5*k+1)/2) / Product_{j=1..5*k} (1-x^j) = Sum_{k>=0} Product_{j=1..5*k} (x^j/(1-x^j)).
%o A373078 (PARI) my(N=70, x='x+O('x^N)); Vec(sum(k=0, N, prod(j=1, 5*k, x^j/(1-x^j))))
%Y A373078 Cf. A000009, A067661, A370747, A372703.
%Y A373078 Cf. A363047.
%K A373078 nonn
%O A373078 0,18
%A A373078 _Seiichi Manyama_, May 23 2024