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Triangle read by rows, replace 1's of triangle A115361 starting from the right with (1, 2, 4, 8, ...).
1

%I #5 Feb 08 2022 22:53:39

%S 1,2,1,0,0,1,4,2,0,1,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,8,4,0,2,0,0,

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

%U 4,0,2,0,0,0,0,0,1

%N Triangle read by rows, replace 1's of triangle A115361 starting from the right with (1, 2, 4, 8, ...).

%C Row sums = A038712: (1, 3, 1, 7, 1, 3, 1, 15, ...).

%F Triangle read by rows, replace 1's in triangle A115361 starting from the right with (1, 2, 4, 8, ...).

%e First few rows of the triangle:

%e 1;

%e 2, 1;

%e 0, 0, 1;

%e 4, 2, 0, 1;

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

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

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

%e 8, 4, 0, 2, 0, 0, 0, 1;

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

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

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

%e 0, 0, 4, 0, 0, 2, 0, 0, 0, 0, 0, 1;

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

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

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

%e 16, 8, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1;

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

%e ...

%Y Cf. A115361, A038712.

%K nonn,tabf

%O 1,2

%A _Gary W. Adamson_, Nov 22 2009