cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

Original entry on oeis.org

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

Views

Author

Gary W. Adamson, Sep 07 2008

Keywords

Comments

Row sums = A006190: (1, 3, 10, 33, 109,...)
Left border = Pell series, A000129.
Right border = A006190 shifted.

Examples

			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

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,...).