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 A373296 #11 May 31 2024 14:36:10
%S A373296 1,1,2,3,5,8,12,17,25,35,51,69,96,129,175,235,312,410,539,700,913,
%T A373296 1173,1508,1923,2450,3106,3921,4928,6180,7715,9622,11935,14783,18243,
%U A373296 22470,27601,33819,41327,50407,61325,74494,90244,109154,131732,158725,190892,229171,274633,328615
%N A373296 Euler transform of A055457.
%F A373296 G.f.: A(x) = 1/Product_{i>=1, j>=0} (1 - x^(i * 5^j)).
%F A373296 Let A(x) be the g.f. of this sequence, and P(x) be the g.f. of A000041, then P(x) = A(x)/A(x^5).
%o A373296 (PARI) my(N=50, x='x+O('x^N)); Vec(1/prod(k=1, N, (1-x^k)^(valuation(k, 5)+1)))
%Y A373296 Cf. A092119, A173241, A373295, A373297, A373298.
%Y A373296 Cf. A000041, A055457, A373219.
%K A373296 nonn
%O A373296 0,3
%A A373296 _Seiichi Manyama_, May 31 2024