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 A373070 #14 May 22 2024 11:33:37 %S A373070 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, %T A373070 9,9,10,10,11,11,12,12,13,13,14,15,16,17,19,20,22,24,26,28,31,33,36, %U A373070 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 %N A373070 Number of partitions of n such that (smallest part) >= 5*(number of parts). %F A373070 G.f.: Sum_{k>=0} x^(5*k^2)/Product_{j=1..k} (1-x^j). %o A373070 (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))) %Y A373070 Cf. A003114, A373067, A373068, A373069. %Y A373070 Cf. A350899, A373076. %K A373070 nonn %O A373070 0,21 %A A373070 _Seiichi Manyama_, May 22 2024