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A128409 Triangle read by rows: A000012 * A128408 as infinite lower triangular matrices. 1

%I #11 Jun 08 2023 08:49:57

%S 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 -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 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 Triangle read by rows: A000012 * A128408 as infinite lower triangular matrices.

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

%C Right border = mu(n), A008683: (1, -1, -1, 0, -1, 1, -1, ...).

%C Row sums = A062563: (1, -1, -3, -3, -5, -1, -3, ...).

%e First few rows of the triangle:

%e 1;

%e 0, -1;

%e -1, -1, -1;

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

%e -2, -1, -1, 0, -1;

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

%e -2, 0, 0, 0, -1, 1, -1;

%e ...

%Y Cf. A002321, A008683, A062563, A128407, A128408.

%K tabl,sign

%O 1,11

%A _Gary W. Adamson_, Mar 01 2007

%E Previous a(51) = 0 removed and more terms from _Georg Fischer_, Jun 08 2023

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Last modified May 8 00:02 EDT 2024. Contains 372317 sequences. (Running on oeis4.)