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 A029878 #27 May 30 2025 20:11:21 %S A029878 1,1,0,-2,1,0,-1,1,2,-3,-2,5,1,-6,1,8,-6,-10,14,7,-25,8,36,-34,-41,72, %T A029878 25,-125,29,187,-150,-216,361,137,-657,159,977,-810,-1135,1937,752, %U A029878 -3558,792,5361,-4327,-6318,10641,4281,-19848,4286 %N A029878 Inverse Euler transform of {A001285(0), A001285(1), ...} where A001285(n) is Thue-Morse sequence. %H A029878 Seiichi Manyama, <a href="/A029878/b029878.txt">Table of n, a(n) for n = 1..5000</a> %H A029878 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a> %H A029878 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/EulerTransform.html">Euler Transform</a> %F A029878 Product_{k>=1} (1-x^k)^(-a(k)) = 1 + Sum_{k>=1} A001285(k-1)*x^k. - _Seiichi Manyama_, Jun 25 2018 %e A029878 (1-x)^(-1)*(1-x^2)^(-1)*(1-x^4)^2*(1-x^5)^(-1)* ... = 1 + x + 2*x^2 + 2*x^3 + x^4 + 2*x^5 + ... . %Y A029878 Cf. A001285, A316149. %K A029878 sign %O A029878 1,4 %A A029878 _N. J. A. Sloane_ %E A029878 Name edited by _Seiichi Manyama_, Jun 25 2018