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Inverse Moebius transform of A097807.
0

%I #8 Jun 08 2023 08:50:02

%S 1,0,1,2,-1,1,-1,2,-1,1,2,-1,1,-1,1,0,1,0,1,-1,1,2,-1,1,-1,1,-1,1,-2,

%T 3,-2,2,-1,1,-1,1,3,-2,2,-1,1,-1,1,-1,1,0,1,0,0,0,1,-1,1,-1,1,2,-1,1,

%U -1,1,-1,1,-1,1,-1,1,-2,3,-2,3,-2,2,-1,1,-1,1,-1,1,2,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1

%N Inverse Moebius transform of A097807.

%C Row sums = A001227: (1, 1, 2, 1, 2, 2, 2,...), number of odd divisors of n.

%F A051731 * A097807 as infinite lower triangular matrices.

%e First few rows of the triangle are:

%e 1;

%e 0, 1;

%e 2, -1, 1;

%e -1, 2, -1, 1;

%e 2, -1, 1, -1, 1;

%e 0, 1, 0, 1, -1, 1;

%e ...

%Y Cf. A001227, A051731, A097807.

%K tabl,sign

%O 0,4

%A _Gary W. Adamson_, Feb 21 2007

%E a(18) = 1 corrected and more terms from _Georg Fischer_, Jun 08 2023