A128313 - OEIS

%I #8 Jun 05 2023 07:03:25

%S 1,-2,1,0,-2,1,0,2,-3,1,0,-4,6,-4,1,0,6,-11,10,-5,1,0,-6,15,-20,15,-6,

%T 1,0,4,-18,34,-35,21,-7,1,0,-6,27,-56,70,-56,28,-8,1,0,12,-42,88,-127,

%U 126,-84,36,-9,1,0,-10,45,-120,210,-252,210,-120,45,-10,1,0,4,-42,154,-325,461,-462,330,-165,55,-11,1

%N Moebius transform of A007318 (signed).

%C Row sums = mu(n), A008683: (1, -1, -1, 0, -1, 1, ...).

%F A054525 * A130595.

%e First few rows of the triangle:

%e    1;

%e   -2,  1;

%e    0, -2,   1;

%e    0,  2,  -3,  1;

%e    0, -4,   6, -4,  1;

%e    0,  6, -11, 10, -5, 1;

%e   ...

%Y Cf. A007318, A008683, A054525, A130595.

%K tabl,sign

%O 1,2

%A _Gary W. Adamson_, Feb 25 2007

%E a(45) = 1 inserted and more terms from _Georg Fischer_, Jun 05 2023