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Triangle read by rows, A042965 on the diagonal, 0 elsewhere.
1

%I #13 Mar 07 2022 07:56:17

%S 1,0,3,0,0,4,0,0,0,5,0,0,0,0,7,0,0,0,0,0,8,0,0,0,0,0,0,9,0,0,0,0,0,0,

%T 0,11,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,13,0,0,0,0,0,0,0,0,0,0,15,

%U 0,0,0,0,0,0,0,0,0,0,0,16,0,0,0,0,0,0,0,0,0,0,0,0,17

%N Triangle read by rows, A042965 on the diagonal, 0 elsewhere.

%F A042965: (1, 3, 4, 5, 7, 8, 9, 11, 12, 13, ...) as the diagonal of an infinite lower triangular matrix and the rest zeros.

%e First few rows of the triangle:

%e 1;

%e 0, 3;

%e 0, 0, 4;

%e 0, 0, 0, 5;

%e 0, 0, 0, 0, 7;

%e ...

%o (PARI) row(n) = vector(n, k, if (k==n, (4*n+1)\3)); \\ _Michel Marcus_, Mar 07 2022

%Y Cf. A042965, A133110 (binomial transform).

%K nonn,tabl

%O 1,3

%A _Gary W. Adamson_, Sep 12 2007

%E More terms from _Michel Marcus_, Mar 07 2022