%I #5 Feb 08 2022 22:11:26
%S 1,2,1,2,2,3,2,2,6,7,2,2,6,14,17,2,2,6,14,34,41,2,2,6,14,34,82,99,2,2,
%T 6,14,34,82,198,239,2,2,6,14,34,82,198,478,577
%N Eigentriangle with row sums = A001333 starting (1, 3, 7, 17, 41, 99, ...).
%C Right border = A001333.
%C Row sums = shifted A001333: (1, 3, 7, 17, 41, 99, ...) = INVERT transform of (1, 2, 2, 2, ...). Sum of n-th row terms = rightmost term of next row.
%F n-th row of the triangle = n terms of twice A001333: (1, 1, 3, 7, 17, 41, 99, ...) followed by A001333(n).
%e First few rows of the triangle:
%e 1;
%e 2, 1;
%e 2, 2, 3;
%e 2, 2, 6, 7;
%e 2, 2, 6, 14, 17;
%e 2, 2, 6, 14, 34, 41;
%e 2, 2, 6, 14, 34, 82, 99;
%e 2, 2, 6, 14, 34, 82, 198, 239;
%e ...
%Y Cf. A001333.
%K nonn,tabl
%O 0,2
%A _Gary W. Adamson_, Sep 06 2008