%I #3 Mar 30 2012 17:25:28
%S 1,2,1,4,3,2,8,7,10,2,16,15,34,12,4,32,31,98,46,32,4,64,63,258,144,
%T 156,36,8,128,127,642,402,600,192,88,8,256,255,1358,1044,2004,792,560,
%U 96,16,512,511,3586,2582,6096,2796,2704,656,224,16,1024,1023,8194,6168,17356
%N Triangle read by rows, iterates of X * [1,0,0,0,...] where X = an infinite bidiagonal matrix with (2,1,2,1,2,1,...) in the main diagonal, (1,2,1,2,1,2,...) in the subdiagonal and the rest zeros.
%C Row sums = 3^n: (1, 3, 9, 27, 81,...)
%F Triangle read by rows, iterates of X * [1,0,0,0,...]; where X = an infinite bidiagonal matrix with [2, -1, 2, -1, 2,...] in the main diagonal, [1, 1, 1,...] in the subdiagonal and rest zeros.
%e First few rows of the triangle are:
%e 1;
%e 2, 1;
%e 4, 3, 2;
%e 8, 7, 10, 2;
%e 16, 15, 34, 12, 4;
%e 32, 31, 98, 46, 32, 4;
%e 64, 63, 258, 144, 156, 36, 8;
%e 128, 126, 642, 402, 600, 192, 88, 8;
%e ...
%K nonn,tabl
%O 0,2
%A _Gary W. Adamson_, May 10 2008