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.

A029878 Inverse Euler transform of {A001285(0), A001285(1), ...} where A001285(n) is Thue-Morse sequence.

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%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