A144019 Eigentriangle read by rows, T(n,k) = A000129(n-k+1)*A006190(k).

1, 2, 1, 5, 2, 3, 12, 5, 6, 10, 29, 12, 15, 20, 33, 70, 29, 36, 50, 66, 109, 169, 70, 87, 120, 165, 218, 360, 408, 169, 210, 290, 396, 545, 720, 1189, 985, 408, 507, 700, 957, 1308, 1800, 2378, 3927

Offset

1,2

Comments

Row sums = A006190: (1, 3, 10, 33, 109,...)

Left border = Pell series, A000129.

Right border = A006190 shifted.

Links

Table of n, a(n) for n=1..45.

Formula

Triangle read by rows, T(n,k) = A000129(n-k+1)*A006190(k), with A006190 one place to the right, = (1, 1, 3, 10, 33, 109,...).

Example

First few rows of the triangle:
    1;
    2,  1;
    5,  2,  3;
   12,  5,  6,  10;
   29, 12, 15,  20,  33;
   70, 29, 36,  50,  66, 109;
  169, 70, 87, 120, 165, 218, 360;
  ...
Row 4 = (12, 5, 6, 10) = termwise product of (12, 5, 2, 1) and (1, 1, 3, 10) = (12*1, 5*1, 2*3, 1*10).

Crossrefs

Cf. A000129, A006190.

Sequence in context: A127156 A205106 A351743 * A085045 A093664 A298212

Adjacent sequences: A144016 A144017 A144018 * A144020 A144021 A144022

Keyword

nonn,tabl

Author

Gary W. Adamson, Sep 07 2008

Status

approved