A133938 A007318 * (A129686 + A133080 - I), where I is the identity matrix.

1, 2, 1, 4, 2, 1, 7, 4, 4, 1, 11, 8, 11, 4, 1, 16, 15, 25, 11, 6, 1, 22, 26, 50, 26, 22, 6, 1, 29, 42, 91, 56, 63, 22, 8, 1, 37, 64, 154, 112, 154, 64, 37, 8, 1, 46, 93, 24, 210, 336, 162, 129, 37, 10, 1

Offset

1,2

Comments

Left column = A000124: (1, 2, 4, 7, 11, ...).

Row sums = A133124: (1, 3, 7, 16, 35, 74, ...).

Links

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

Formula

Binomial transform of matrix M, where M = a tridiagonal matrix with (1,1,1,...) in the main diagonal, (1,0,1,0,...) in the subdiagonal and (1,1,1,...) in the subsubdiagonal. M = (A129686 + A133080 - I), I = Identity matrix.

Example

First few rows of the triangle:
   1;
   2,  1;
   4,  2,  1;
   7,  4,  4,  1;
  11,  8, 11,  4,  1;
  16, 15, 25, 11,  6,  1;
  22, 26, 50, 26, 22,  6,  1;
  ...

Crossrefs

Cf. A000124, A133124, A129686, A133080.

Sequence in context: A316354 A104582 A209439 * A239829 A210034 A074586

Adjacent sequences: A133935 A133936 A133937 * A133939 A133940 A133941

Keyword

nonn,tabl,more

Author

Gary W. Adamson, Sep 29 2007

Status

approved