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Triangle, A000012 * A128313.
0

%I #4 Feb 18 2022 22:12:57

%S 1,-1,1,-1,-1,1,-1,1,-2,1,-1,-3,4,-3,1,-1,3,-7,7,-4,1,-1,-3,8,-13,11,

%T -5,1,-1,1,-10,21,-24,16,-6,1,-1,-5,17,-35,46,-40,22,-7,1,-1,7,-25,53,

%U -81,86,-62,29,-8,1

%N Triangle, A000012 * A128313.

%C Row sums = the Mertens sequence: A002321, (1, 0, -1, -1, -2, ...).

%F A000012 * A128313 as infinite lower triangular matrices.

%e First few rows of the triangle:

%e 1;

%e -1, 1;

%e -1, -1, 1;

%e -1, 1, -2, 1

%e -1, -3, 4, -3, 1;

%e -1, 3, -7, 7, -4, 1;

%e -1, -3, 8, -13, 11, -5, 1;

%e ...

%Y Cf. A128313, A000012, A002321.

%K tabl,sign

%O 1,9

%A _Gary W. Adamson_, Feb 25 2007