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Triangle read by rows, with (2, 1, 0, 0, 0, ...) in every column.
3

%I #7 Jun 05 2021 01:47:03

%S 2,1,2,0,1,2,0,0,1,2,0,0,0,1,2,0,0,0,0,1,2,0,0,0,0,0,1,2,0,0,0,0,0,0,

%T 1,2,0,0,0,0,0,0,0,1,2

%N Triangle read by rows, with (2, 1, 0, 0, 0, ...) in every column.

%C Let the triangle = M, then M^n * [1, 1, 0, 0, 0, ...] generates rows of triangle A118800. M^n * [1, 0, 0, 0, ...] generates rows of triangle A038207.

%C Eigensequence of the triangle = the Pell numbers, A000129: (1, 2, 5, 12, 29, ...). - _Gary W. Adamson_, Dec 29 2008

%F Triangle by columns (2, 1, 0, 0, 0, 0, 0, ...) in every column. By rows, (n-2) zeros followed by 1, 2.

%e First few rows of the triangle:

%e 2;

%e 1, 2

%e 0, 1, 2;

%e 0, 0, 1, 2;

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

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

%e ...

%Y Cf. A118800, A038207.

%Y Cf. A000129. - _Gary W. Adamson_, Dec 29 2008

%K nonn,tabl

%O 1,1

%A _Gary W. Adamson_, Dec 09 2007