A140168 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.

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, 43, 135, 41, 46, 12, 5, 1, 256, 85, 313, 94, 133, 34, 22, 4, 1, 512, 171, 711, 219, 360, 99, 78, 18, 6, 1, 1024, 341, 1593, 492, 939, 261, 255, 60, 30, 5, 1, 2048, 683, 3527, 1101

Offset: 0

Author

Gary W. Adamson, May 10 2008

Keywords

• nonn
• tabl

Comments

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

Examples

			First few rows of the triangle:
    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,  43, 135,  41,  46, 12,  5,  1;
  256,  85, 313,  94, 133, 34, 22,  4, 1;
  512, 171, 711, 219, 360, 99, 78, 18, 6, 1;
  ...
		

Crossrefs

Cf. A105476.

Formula

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.