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%I #4 Feb 20 2022 14:38:36
%S 1,1,1,1,0,3,1,1,0,4,1,0,0,0,15,1,1,3,0,0,7,1,0,0,0,0,0,63,1,1,0,4,0,
%T 0,0,24,1,0,3,0,0,0,0,0,32,1,1,0,0,15,0,0,0,0,31
%N Inverse Moebius transform of A130113 as a diagonalized matrix.
%C Right border = A130113, (1, 1, 3, 4, 15, 7, 63, 24, ...), the Moebius transform of A037019.
%C Row sums = A037019: (1, 2, 4, 6, 16, 12, 64, 30, 36, 48, ...).
%F A051731 * an infinite lower triangular matrix with A130113 as the diagonal and the rest zeros.
%e First few rows of the triangle:
%e 1;
%e 1, 1;
%e 1, 0, 3;
%e 1, 1, 0, 4;
%e 1, 0, 0, 0, 15;
%e 1, 1, 3, 0, 0, 7;
%e 1, 0, 0, 0, 0, 0, 63;
%e 1, 1, 0, 4, 0, 0, 0, 24;
%e ...
%Y Cf. A130113, A054525, A037019.
%K nonn,tabl
%O 1,6
%A _Gary W. Adamson_, May 08 2007
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