A133807 A007318 * (A097806 + A133566 - I), where I is the identity matrix.

1, 2, 1, 3, 4, 1, 4, 9, 4, 1, 5, 16, 10, 6, 1, 6, 25, 20, 20, 6, 1, 7, 36, 35, 50, 21, 8, 1, 8, 49, 56, 105, 56, 35, 8, 1, 9, 64, 84, 196, 126, 112, 36, 10, 1, 10, 81, 120, 336, 252, 294, 120, 54, 10, 1

Offset

1,2

Comments

Row sums = A133806: (1, 3, 8, 18, 38, 78, 158, ...).

Links

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

Formula

Binomial transform of matrix M, where M = (A097806 + A133566 - I) = triangle with (1,1,1,...) in the main diagonal, (1,2,1,2,1,...) in the subdiagonal and the rest zeros. I = Identity matrix.

Example

First few rows of the triangle:
  1;
  2,  1;
  3,  4,  1;
  4,  9,  4,  1;
  5, 16, 10,  6,  1;
  6, 25, 20, 20,  6,  1;
  7, 36, 35, 50, 21,  8,  1;
  ...

Crossrefs

Cf. A133566, A007318 , A097806, A133806.

Sequence in context: A297224 A180383 A374896 * A325001 A093375 A103283

Adjacent sequences: A133804 A133805 A133806 * A133808 A133809 A133810

Keyword

nonn,tabl,more

Author

Gary W. Adamson, Sep 23 2007

Status

approved