A134232 A007318 * M, where M = triangle in which row n consists of n-1 zeros followed by 2n-1, n+1.

1, 2, 2, 3, 7, 3, 4, 15, 14, 4, 5, 26, 38, 23, 5, 6, 40, 80, 75, 34, 6, 7, 57, 145, 185, 129, 47, 7, 8, 77, 238, 385, 364, 203, 62, 8, 0, 9, 100, 364, 714, 854, 644, 300, 79, 9, 10, 126, 528, 1218, 1764, 1680, 1056, 423, 98, 10

Offset

0,2

Comments

Row sums = A048474: (1, 4, 13, 37, 97, 241, 577, ...).

Links

Table of n, a(n) for n=0..55.

Formula

Binomial transform of an infinite lower triangular matrix with rows = (n-1) zeros followed by (2n-1), (n+1). A007318 * an infinite lower triangular matrix with (1,2,3,...) in the main diagonal, (1,3,5,...) in the subdiagonal and the rest zeros.

Example

First few rows of the triangle:
  1;
  2,  2;
  3,  7,   3;
  4, 15,  14,   4;
  5, 26,  38,  23,   5;
  6, 40,  80,  75,  34,  6;
  7, 57, 145, 185, 129, 47, 7;
  ...

Crossrefs

Cf. A048474.

Sequence in context: A210188 A183442 A296019 * A123934 A363365 A208151

Adjacent sequences: A134229 A134230 A134231 * A134233 A134234 A134235

Keyword

nonn,tabl

Author

Gary W. Adamson, Oct 14 2007

Status

approved