A119355 Triangle generated from binomial transforms of (1; 2, 3; 3, 4, 5; ...).

1, 2, 1, 3, 5, 1, 4, 7, 8, 1, 5, 9, 16, 11, 1, 6, 11, 20, 30, 14, 1, 7, 13, 24, 44, 49, 17, 1, 8, 15, 28, 52, 88, 73, 20, 1, 9, 17, 32, 60, 103, 159, 102, 23, 1

Offset

1,2

Links

Table of n, a(n) for n=1..45.

Formula

Take antidiagonals of an array generated by taking binomial transforms of (1; 2, 3; 3, 4, 5; 4, 5, 6, 7; ...)

Example

First few rows of the array are:
  1, 1,  1,  1, ...
  2, 5,  8, 11, ...
  3, 7, 16, 30, ...
  4, 9, 20, 44, ...
  ...
First few rows of the triangle are:
  1;
  2,  1;
  3,  5,  1;
  4,  7,  8,  1;
  5,  9, 16, 11,  1;
  6, 11, 20, 30, 14,  1;
  7, 13, 24, 44, 49, 17,  1;
  ...
Example: The diagonal 3, 7, 16, 30, 49, ... (third row of the array) = binomial transform of (3, 4, 5, 0, 0, 0, ...).

Crossrefs

Sequence in context: A347773 A368563 A093412 * A076110 A117584 A199847

Adjacent sequences: A119352 A119353 A119354 * A119356 A119357 A119358

Keyword

nonn,tabl,more

Author

Gary W. Adamson, May 16 2006

Status

approved