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.

Showing 1-1 of 1 results.

A104716 Triangle T(n,k) = (2k-3+4n)*(k-1-n)*(k-2-n)/6, 1<=k<=n.

Original entry on oeis.org

1, 7, 3, 22, 13, 5, 50, 34, 19, 7, 95, 70, 46, 25, 9, 161, 125, 90, 58, 31, 11, 252, 203, 155, 110, 70, 37, 13, 372, 308, 245, 185, 130, 82, 43, 15, 525, 444, 364, 287, 215, 150, 94, 49, 17, 715, 615, 516, 420, 329, 245, 170, 106, 55, 19, 946, 825, 705, 588, 476, 371, 275, 190, 118, 61, 21
Offset: 1

Views

Author

Gary W. Adamson, Mar 20 2005

Keywords

Comments

The triangle is created by the matrix product A158405 * A004736, regarding both as infinite lower triangular matrices, rest of the terms filled in with zeros.
Apparently, row n contains the initial terms of row 2n-2 of A177877. - R. J. Mathar, Aug 31 2011

Examples

			First few rows are:
1;
7, 3;
22, 13, 5;
50, 34, 19, 7;
95, 70, 46, 25, 9;
...
		

Crossrefs

Cf. A104715, A002419 (row sums).

Programs

  • Maple
    A104716 := proc(n,k) (2*k-3+4*n)*(k-1-n)*(k-2-n)/6 ; end proc:
    seq(seq(A104716(n,k),k=1..n),n=1..15) ; # R. J. Mathar, Aug 31 2011

Extensions

Closed-form definition by R. J. Mathar, Aug 31 2011
Showing 1-1 of 1 results.