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A131088 2*A051731 - A054525 as infinite lower triangular matrices.

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%I A131088 #13 Feb 26 2022 10:48:06
%S A131088 1,3,1,3,0,1,2,3,0,1,3,0,0,0,1,1,3,3,0,0,1,3,0,0,0,0,0,1,2,2,0,3,0,0,
%T A131088 0,1,2,0,3,0,0,0,0,0,1,1,3,0,0,3,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,1,2,1,
%U A131088 2,3,0,3,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,1
%N A131088 2*A051731 - A054525 as infinite lower triangular matrices.
%C A131088 Row sums = A131089.
%C A131088 A131090: (1, 3, 3, 2, 3, 1, 3, 2, 2, 1, ...) in every column interspersed with (k-1) zeros.
%e A131088 First few rows of the triangle:
%e A131088   1;
%e A131088   3, 1;
%e A131088   3, 0, 1;
%e A131088   2, 3, 0, 1;
%e A131088   3, 0, 0, 0, 1;
%e A131088   1, 3, 3, 0, 0, 1
%e A131088   3, 0, 0, 0, 0, 0, 1;
%e A131088   2, 2, 0, 3, 0, 0, 0, 1;
%e A131088   ...
%o A131088 (PARI) T(n,k) = 2*!(n%k) - if (!(n % k), moebius(n/k), 0);
%o A131088 row(n) = vector(n, k, T(n,k));
%o A131088 lista(nn) = for (n=1, nn, v = row(n); for (k=1, #v, print1(v[k], ", "))); \\ _Michel Marcus_, Feb 26 2022
%Y A131088 Cf. A129979 (left border), A131089 (row sums), A051731, A054525.
%K A131088 nonn,tabl
%O A131088 1,2
%A A131088 _Gary W. Adamson_, Jun 14 2007
%E A131088 More terms from _Michel Marcus_, Feb 26 2022