%I #8 Feb 08 2022 23:12:11
%S 1,1,1,2,0,1,2,1,0,1,3,0,1,0,1,3,1,0,1,0,1,4,0,1,0,1,0,1,4,1,0,1,0,1,
%T 0,1,5,0,1,0,1,0,1,0,1,5,1,0,1,0,1,0,1,0,1
%N Triangle read by rows, left border = natural numbers repeated (1, 1, 2, 2, 3, 3, ...); all other columns = (1, 0, 1, 0, 1, 0, ...).
%C Row sums = n. Eigensequence of the triangle = nonzero terms of A000071: (1, 2, 4, 7, 12, 20, ...) = ((F3 - 1), (F4 - 1), (F5 - 1), ...).
%F Triangle by rows, left border = natural numbers repeated (1, 1, 2, 2, 3, 3, ...); all other columns = (1, 0, 1, 0, 1, 0, ...).
%e First few rows of the triangle:
%e 1;
%e 1, 1;
%e 2, 0, 1;
%e 2, 1, 0, 1;
%e 3, 0, 1, 0, 1;
%e 3, 1, 0, 1, 0, 1;
%e 4, 0, 1, 0, 1, 0, 1;
%e 4, 1, 0, 1, 0, 1, 0, 1;
%e 5, 0, 1, 0, 1, 0, 1, 0, 1;
%e 5, 1, 0, 1, 0, 1, 0, 1, 0, 1;
%e 6, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1;
%e 6, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1;
%e 7, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1;
%e ...
%Y Cf. A000071.
%K nonn,tabf
%O 1,4
%A _Gary W. Adamson_, Mar 31 2009
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