A134247 A007318 * triangle by rows, n-th row = (n-1) zeros followed by T(n), 1.

1, 2, 1, 3, 5, 1, 4, 12, 9, 1, 5, 22, 30, 14, 1, 6, 35, 70, 60, 20, 1, 7, 51, 135, 170, 105, 27, 1, 8, 70, 231, 385, 350, 168, 35, 1, 9, 92, 364, 756, 910, 644, 252, 44, 1, 10, 117, 540, 1344, 2016, 1890, 1092, 360, 54, 1

Offset

0,2

Comments

Row sums = A072863: (1, 3, 9, 26, 72, 192, 496, ...).

Links

Table of n, a(n) for n=0..54.

Formula

Binomial transform of an infinite lower triangular matrix having n-th row = (n-1) zeros followed by T(n), 1, where T(n) = n-th triangular number.

Example

First few rows of the triangle:
  1;
  2,  1;
  3,  5,   1;
  4, 12,   9,   1;
  5, 22,  30,  14,   1;
  6, 35,  70,  60,  20,  1;
  7, 51, 135, 170, 105, 27, 1;
  ...

Crossrefs

Cf. A072863, A000217.

Sequence in context: A347667 A297582 A134081 * A210225 A180906 A153277

Adjacent sequences: A134244 A134245 A134246 * A134248 A134249 A134250

Keyword

nonn,tabl

Author

Gary W. Adamson, Oct 15 2007

Status

approved