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A128409 Triangle read by rows: A000012 * A128408 as infinite lower triangular matrices.

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%I A128409 #11 Jun 08 2023 08:49:57
%S A128409 1,0,-1,-1,-1,-1,-1,-1,-1,0,-2,-1,-1,0,-1,-1,0,0,0,-1,1,-2,0,0,0,-1,1,
%T A128409 -1,-2,0,0,0,-1,1,-1,0,-2,0,0,0,-1,1,-1,0,0,-1,1,0,0,0,1,-1,0,0,1,-2,
%U A128409 1,0,0,0,1,-1,0,0,1,-1,-2,1,0,0,0,1,-1,0,0,1,-1,0,-3,1,0,0,0,1,-1,0,0,1,-1,0,-1
%N A128409 Triangle read by rows: A000012 * A128408 as infinite lower triangular matrices.
%C A128409 Left border = the Mertens sequence: A002321: (1, 0, -1, -1, -2, ...).
%C A128409 Right border = mu(n), A008683: (1, -1, -1, 0, -1, 1, -1, ...).
%C A128409 Row sums = A062563: (1, -1, -3, -3, -5, -1, -3, ...).
%e A128409 First few rows of the triangle:
%e A128409    1;
%e A128409    0, -1;
%e A128409   -1, -1, -1;
%e A128409   -1, -1, -1,  0;
%e A128409   -2, -1, -1,  0, -1;
%e A128409   -1,  0,  0,  0, -1,  1;
%e A128409   -2,  0,  0,  0, -1,  1, -1;
%e A128409   ...
%Y A128409 Cf. A002321, A008683, A062563, A128407, A128408.
%K A128409 tabl,sign
%O A128409 1,11
%A A128409 _Gary W. Adamson_, Mar 01 2007
%E A128409 Previous a(51) = 0 removed and more terms from _Georg Fischer_, Jun 08 2023