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 A373219 #13 May 31 2024 14:35:30 %S A373219 1,1,1,2,2,4,5,6,8,10,14,17,21,26,32,42,50,60,74,88,109,130,154,184, %T A373219 218,263,309,363,428,500,593,690,802,936,1084,1266,1463,1687,1948, %U A373219 2242,2590,2970,3403,3900,4456,5107,5820,6626,7546,8572,9755,11059,12523,14180,16028,18133,20455,23056,25978 %N A373219 Expansion of Product_{i>=1, j>=0} (1 + x^(i * 5^j)). %F A373219 G.f.: Product_{k>=1} (1 + x^k)^A055457(k). %F A373219 Let A(x) be the g.f. of this sequence, and B(x) be the g.f. of A000009, then B(x) = A(x)/A(x^5). %o A373219 (PARI) my(N=60, x='x+O('x^N)); Vec(prod(k=1, N, (1+x^k)^(valuation(k, 5)+1))) %Y A373219 Cf. A000041, A174065, A327726, A373220, A373221. %Y A373219 Cf. A000009, A055457. %K A373219 nonn %O A373219 0,4 %A A373219 _Seiichi Manyama_, May 28 2024