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 A151758 #5 Mar 31 2021 04:33:59 %S A151758 0,-1,0,2,0,2,2,0,0,2,2,0,2,0,0,0,0,2,2,0,2,0,0,0,2,0,0,0,0,0,0,0,0,2, %T A151758 2,0,2,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0, %U A151758 2,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0 %N A151758 G.f.: Theta^2-Theta, where Theta = Sum_{k>=0} x^(2^k). %C A151758 If we omit the "-x" term and divide by 2, we get the characteristic function of the numbers with binary weight 2 (A018900, A151774). %t A151758 w[n_] := IntegerDigits[n, 2] // Total; %t A151758 a[n_] := If[n == 1, -1, 2 Boole[w[n] == 2]]; %t A151758 a /@ Range[0, 104] (* _Jean-François Alcover_, Mar 31 2021 *) %Y A151758 Cf. A000079, A073267, A151759, A151760, A151761, A151762, A018900, A151774. %K A151758 sign %O A151758 0,4 %A A151758 _N. J. A. Sloane_, Jun 22 2009