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Inverse Moebius transform of a diagonalized matrix of A007436.
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%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