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.

A134239 A127899(unsigned) * A007318.

Original entry on oeis.org

1, 4, 2, 6, 9, 3, 8, 20, 16, 4, 10, 35, 45, 25, 5, 12, 54, 96, 84, 36, 6, 14, 77, 175, 210, 140, 49, 7, 16, 104, 288, 440, 400, 216, 64, 8, 18, 135, 441, 819, 945, 693, 315, 81, 9, 20, 170, 640, 1400, 1960, 1820, 1120, 440, 100, 10
Offset: 0

Views

Author

Gary W. Adamson, Oct 14 2007

Keywords

Examples

			First few rows of the triangle are:
1;
4, 2;
6, 9, 3;
8, 20, 16, 4;
10, 35, 45, 25, 5;
12, 54, 96, 84, 36, 6;
14, 77, 175, 210, 140, 49, 7;
...
Row 3 = (8, 20, 16, 4) = 4 * (2, 5, 4, 1), where (2, 5, 4, 1) = row 3 of A029653, (2,1) Pascal's triangle.
		

Crossrefs

Cf. A127899, A029653, A128543 (row sums).

Programs

  • Haskell
    a134239 n k = a134239_tabl !! n !! k
    a134239_row n = a134239_tabl !! n
    a134239_tabl = [1] : zipWith (map . (*))
                   [2..] (map reverse $ tail a029635_tabl)
    -- Reinhard Zumkeller, Nov 14 2014

Formula

A127899(unsigned) * A007318.
Triangle, T(n,k) = (n+1) * A029635(n,n-k) for n > 0.

Extensions

Corrected by Philippe Deléham, Oct 17 2007
Formula corrected by Reinhard Zumkeller, Nov 14 2014