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Triangle read by rows, first n terms of the sequence (1, 2, 4, 10, ...) followed by P(n), where (2, 4, 10, 12, ...) = twice Pell numbers.
1

%I #10 May 04 2024 14:29:55

%S 1,1,1,1,2,2,1,2,4,5,1,2,4,10,12,1,2,4,10,24,29,1,2,4,10,24,58,70,1,2,

%T 4,10,24,58,140,169,1,2,4,10,24,58,140,338,408,1,2,4,10,24,58,140,338,

%U 816,985

%N Triangle read by rows, first n terms of the sequence (1, 2, 4, 10, ...) followed by P(n), where (2, 4, 10, 12, ...) = twice Pell numbers.

%C Row sums = A000129(n), the Pell numbers: (1, 2, 5, 12, ...).

%e First few rows of the triangle:

%e 1;

%e 1, 1;

%e 1, 2, 2;

%e 1, 2, 4, 5;

%e 1, 2, 4, 10, 12;

%e 1, 2, 4, 10, 24, 29;

%e 1, 2, 4, 10, 24, 58, 70;

%e 1, 2, 4, 10, 24, 58, 140, 169;

%Y Cf. A000129.

%K nonn,tabl

%O 0,5

%A _Gary W. Adamson_, Sep 01 2008