A133913 Array read by ascending antidiagonals generated from partial sums of A007001.

1, 1, 2, 1, 3, 1, 1, 4, 4, 2, 1, 5, 8, 6, 3, 1, 6, 13, 14, 9, 1, 1, 7, 19, 27, 23, 10, 2, 1, 8, 26, 46, 50, 33, 12, 1, 1, 9, 34, 72, 96, 83, 45, 13, 2, 1, 10, 43, 106, 168, 179, 128, 58, 15, 3, 1, 11, 53, 149, 274, 347, 307, 186, 73, 18, 1, 1, 12, 64, 202, 423, 621, 654, 493, 259, 91

Offset: 1

Author

Gary W. Adamson, Sep 28 2007

Keywords

• nonn
• tabl

Comments

Given A007001: (1, 2, 1, 2, 3, 1, 2, 1, ...) as first row of an array, n-th row = partial sum sequence of (n-1)-th row.

Row sums = A133914: (1, 3, 5, 11, 23, 44, 89, 177, 355, ...).

Right border = A007001: (1, 2, 1, 2, 3, 1, 2, 1, ...).

Examples

			First few rows of the array:
  1, 2,  1,  2,  3,   1,   2, ...
  1, 3,  4,  6,  9,  10,  12, ...
  1, 4,  8, 14, 23,  33,  45, ...
  1, 5, 13, 27, 50,  83, 128, ...
  1, 6, 19, 46, 96, 179, 307, ...
  ...
First few rows of the triangle:
  1;
  1,  2;
  1,  3,  1;
  1,  4,  4,   2;
  1,  5,  8,   6,   3;
  1,  6, 13,  14,   9,   1;
  1,  7, 19,  27,  23,  10,   2;
  1,  8, 26,  46,  50,  33,  12,  1;
  1,  9, 34,  72,  96,  83,  45, 13,  2;
  1, 10, 43, 106, 168, 179, 128, 58, 15, 3;
  ...
		

Crossrefs

Cf. A007001, A133912, A133914.

Extensions

Edited by Jon E. Schoenfield, Mar 26 2022