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 A316149 #16 Feb 16 2025 08:33:56
%S A316149 2,-1,-1,2,-3,3,0,-4,6,-6,6,-1,-12,24,-29,23,9,-64,114,-132,81,78,
%T A316149 -333,577,-627,279,610,-1896,2979,-2911,672,4232,-10754,15576,-13515,
%U A316149 -591,28098,-61548,81664,-60408,-27030,180784,-351081,425892,-253838,-281760,1140396,-1995767,2195952,-930876
%N A316149 Inverse Euler transform of Thue-Morse sequence A001285.
%H A316149 Seiichi Manyama, <a href="/A316149/b316149.txt">Table of n, a(n) for n = 1..5000</a>
%H A316149 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%H A316149 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/EulerTransform.html">Euler Tranceform</a>
%F A316149 Product_{k>=1} (1-x^k)^(-a(k)) = 1 + Sum_{k>=1} A001285(k)*x^k.
%e A316149 (1-x)^(-2)*(1-x^2)*(1-x^3)*(1-x^4)^(-2)* ... = 1 + 2*x + 2*x^2 + x^3 + 2*x^4 + ... .
%p A316149 # The function EulerInvTransform is defined in A358451.
%p A316149 a := EulerInvTransform(A001285):
%p A316149 seq(a(n), n = 1..50); # _Peter Luschny_, Nov 21 2022
%Y A316149 Cf. A001285, A029878.
%K A316149 sign
%O A316149 1,1
%A A316149 _Seiichi Manyama_, Jun 25 2018