A140168 - OEIS

%I #5 Feb 08 2022 20:01:33

%S 1,2,1,4,1,1,8,3,3,1,16,5,9,2,1,32,11,23,7,4,1,64,21,57,16,15,3,1,128,

%T 43,135,41,46,12,5,1,256,85,313,94,133,34,22,4,1,512,171,711,219,360,

%U 99,78,18,6,1,1024,341,1593,492,939,261,255,60,30,5,1,2048,683,3527,1101

%N 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.

%C Row sums = A105476 starting (1, 3, 6, 15, 33, 78, 177, ...).

%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:

%e     1;

%e     2,   1;

%e     4,   1,   1;

%e     8,   3,   3,   1;

%e    16,   5,   9,   2,   1;

%e    32,  11,  23,   7,   4,  1;

%e    64,  21,  57,  16,  15,  3,  1;

%e   128,  43, 135,  41,  46, 12,  5,  1;

%e   256,  85, 313,  94, 133, 34, 22,  4, 1;

%e   512, 171, 711, 219, 360, 99, 78, 18, 6, 1;

%e   ...

%Y Cf. A105476.

%K nonn,tabl

%O 0,2

%A _Gary W. Adamson_, May 10 2008