A134637 Triangle, T(n,k) = T(n-1,k) + T(n-1,k-1), 1<k<n with borders given by the Tetrahedral numbers.

1, 4, 4, 10, 8, 10, 20, 18, 18, 20, 35, 38, 36, 38, 35, 56, 73, 74, 74, 73, 56, 84, 129, 147, 148, 147, 129, 84, 120, 213, 276, 295, 295, 276, 213, 120, 165, 333, 489, 571, 590, 571, 489, 333, 165, 220, 498, 822, 1060, 1161

Offset

1,2

Links

Table of n, a(n) for n=1..50.

Formula

Triangle, given borders = A000292, then apply Pascal's rule.

Example

First few rows of the triangle are:
1;
4, 4;
10, 8, 10;
20, 18, 18, 20;
35, 38, 36, 38, 35;
56, 73, 74, 74, 73, 56;
...

Crossrefs

Cf. A000292, A134638 (row sums).

Sequence in context: A319056 A369225 A050348 * A078910 A196051 A140234

Adjacent sequences: A134634 A134635 A134636 * A134638 A134639 A134640

Keyword

nonn,tabl

Author

Gary W. Adamson, Nov 04 2007

Extensions

Corrected by R. J. Mathar, Apr 04 2012

Status

approved