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 A382373 #9 Mar 23 2025 10:08:01 %S A382373 1,1,2,4,8,17,34,69,140,284,578,1173,2382,4837,9822,19948,40508,82261, %T A382373 167050,339233,688896,1398964,2840926,5769169,11715654,23791402, %U A382373 48314044,98113049,199241660,404607125,821650100,1668554099,3388392198,6880928638,13973346686 %N A382373 Expansion of 1/( 1 - Sum_{k>=0} x^(5^k) / (1 - x^(5^k)) ). %F A382373 a(0) = 1; a(n) = Sum_{k=1..n} A055457(k) * a(n-k). %F A382373 G.f.: 1/(1 - Sum_{i>=1, j>=0} x^(i*5^j)). %F A382373 G.f. A(x) satisfies A(x) = 1/( 1/A(x^5) - x/(1-x) ). %Y A382373 Cf. A327736, A382367, A382372, A382378. %Y A382373 Cf. A055457. %K A382373 nonn %O A382373 0,3 %A A382373 _Seiichi Manyama_, Mar 23 2025