A135856 A007318 * a bidiagonal matrix with all 1's in the main diagonal and all 4's in the subdiagonal.

1, 5, 1, 9, 6, 1, 13, 15, 7, 1, 17, 28, 22, 8, 1, 21, 45, 50, 30, 9, 1, 25, 66, 95, 80, 39, 10, 1, 29, 91, 161, 175, 119, 49, 11, 1, 33, 120, 252, 336, 294, 168, 60, 12, 1, 37, 153, 372, 588, 630, 462, 228, 72, 13, 1

Offset: 1

Author

Gary W. Adamson, Dec 01 2007

Keywords

• nonn
• tabl

Comments

Row sums = A048487.

When the first column is removed from this triangle, the result is A125233. - Georg Fischer, Jul 26 2023

Examples

			First few rows of the triangle:
   1;
   5,  1;
   9,  6,  1;
  13, 15,  7,  1;
  17, 28, 22,  8,  1;
  21, 45, 50, 30,  9,  1;
  25, 66, 95, 80, 39, 10,  1;
  ...
		

Crossrefs

Cf. A048487, A125233.

Formula

Binomial transform of an infinite lower triangular matrix with all 1's in the main diagonal and all 4's in the subdiagonal (by columns, (1, 4, 0, 0, 0, ...) in every column.