%I #4 Feb 20 2022 14:39:13
%S 1,1,0,1,0,1,1,0,0,2,1,0,0,0,4,1,0,1,0,0,6,1,0,0,0,0,0,12,1,0,0,2,0,0,
%T 0,18,1,0,1,0,0,0,0,0,32,1,0,0,0,4,0,0,0,0,50
%N Inverse Moebius transform of a diagonalized matrix of A007436.
%C Row sums = F(n); example: row 6 = F(6), 8 = (1 + 0 + 1 + 0 + 0 + 6).
%C Right border = A007436, (1, 0, 1, 2, 4, 6, 12, 18, 32, ...), the Moebius transform of the Fibonacci series.
%F A051731 * an infinite lower triangular matrix with A007436 in the main diagonal and the rest zeros.
%e First few rows of the triangle:
%e 1;
%e 1, 0;
%e 1, 0, 1;
%e 1, 0, 0, 2;
%e 1, 0, 0, 0, 4;
%e 1, 0, 1, 0, 0, 6;
%e 1, 0, 0, 0, 0, 0, 12;
%e 1, 0, 0, 2, 0, 0, 0, 18;
%e ...
%Y Cf. A007436, A051731, A054525.
%K nonn,tabl
%O 1,10
%A _Gary W. Adamson_, May 09 2007