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

1,2

Comments

Row sums = A048487.

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

Links

Table of n, a(n) for n=1..55.

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.

Example

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.

Sequence in context: A129343 A342634 A010482 * A097414 A154605 A114594

Adjacent sequences: A135853 A135854 A135855 * A135857 A135858 A135859

Keyword

nonn,tabl

Author

Gary W. Adamson, Dec 01 2007

Status

approved