A133599 A097806 * A133080 * A007318.

1, 3, 1, 3, 3, 1, 3, 7, 5, 1, 3, 9, 10, 5, 1, 3, 13, 22, 18, 7, 1, 3, 15, 31, 34, 21, 7, 1, 3, 19, 51, 75, 65, 33, 9, 1, 3, 21, 64, 111, 120, 83, 36, 9, 1, 3, 25, 92, 196, 266, 238, 140, 52, 11, 1

Offset

1,2

Comments

Row sums = A133600: (1, 4, 7, 16, 28, 64, 112, ...).

Links

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

Formula

A097806 * A133080 * A007318 as infinite lower triangular matrices, where A097806 = the pairwise operator and A133080 = an interpolation operator.

Example

First few rows of the triangle:
  1;
  3,  1;
  3,  3,  1;
  3,  7,  5,  1;
  3,  9, 10,  5,  1;
  3, 13, 22, 18,  7,  1;
  ...

Maple

A133599aux := proc(n, k)
    add(A097806(n, j)*A133080(j, k), j=k..n) ;
end proc:
A133599 := proc(n, k)
    add(A133599aux(n, j)*binomial(j-1, k-1), j=k..n) ;
end proc: # R. J. Mathar, Jun 20 2015

Crossrefs

Cf. A097806, A133080, A133600.

Sequence in context: A274773 A132752 A131241 * A256399 A336575 A050306

Adjacent sequences: A133596 A133597 A133598 * A133600 A133601 A133602

Keyword

nonn,tabl

Author

Gary W. Adamson, Sep 18 2007

Status

approved