cp's OEIS Frontend

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.

A373298 Euler transform of A373217.

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%I A373298 #11 May 31 2024 14:36:27
%S A373298 1,1,2,3,5,7,11,16,23,32,45,61,84,112,152,200,265,345,451,581,750,960,
%T A373298 1225,1552,1965,2470,3101,3872,4830,5990,7421,9152,11270,13825,16932,
%U A373298 20672,25191,30608,37129,44920,54257,65376,78660,94419,113172,135370,161687,192752
%N A373298 Euler transform of A373217.
%F A373298 G.f.: A(x) = 1/Product_{i>=1, j>=0} (1 - x^(i * 7^j)).
%F A373298 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^7).
%o A373298 (PARI) my(N=50, x='x+O('x^N)); Vec(1/prod(k=1, N, (1-x^k)^(valuation(k, 7)+1)))
%Y A373298 Cf. A092119, A173241, A373295, A373296, A373297.
%Y A373298 Cf. A000041, A373217, A373221.
%K A373298 nonn
%O A373298 0,3
%A A373298 _Seiichi Manyama_, May 31 2024