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.

A130161 A054525 * A036989 as a diagonalized matrix.

This page as a plain text file.
%I A130161 #5 Feb 20 2022 14:41:50
%S A130161 1,-1,2,-1,0,1,0,-2,0,3,-1,0,0,0,1,1,-2,-1,0,0,2,-1,0,0,0,0,0,2,0,0,0,
%T A130161 -3,0,0,0,4,0,0,-1,0,0,0,0,0,1,1,-2,0,0,-1,0,0,0,0,2
%N A130161 A054525 * A036989 as a diagonalized matrix.
%C A130161 Left border = mu(n), A008683.
%C A130161 Right border = A036989, (1, 2, 1, 3, 1, 2, 2, 4, 1, 2, ...) = the inverse Moebius transform (A051731) of the Thue-Morse sequence, offset 1: (1, 1, 0, 1, 0, 0, 1, ...).
%C A130161 Row sums = the Thue-Morse sequence starting with "1".
%F A130161 Moebius transform of an infinite lower triangular matrix with A036989 in the main diagonal and the rest zeros.
%e A130161 First few rows of the triangle:
%e A130161    1;
%e A130161   -1,  2;
%e A130161   -1,  0,  1;
%e A130161    0, -2,  0,  3;
%e A130161   -1,  0,  0,  0,  1;
%e A130161    1, -2, -1,  0,  0,  2;
%e A130161   -1,  0,  0,  0,  0,  0,  2;
%e A130161   ...
%Y A130161 Cf. A036989, A051731, A054525, A010060, A008683.
%K A130161 tabl,sign
%O A130161 0,3
%A A130161 _Gary W. Adamson_, May 13 2007