A193633 Triangle: T(n,k)=C(4n,2k), 0<=k<=n.

1, 1, 6, 1, 28, 70, 1, 66, 495, 924, 1, 120, 1820, 8008, 12870, 1, 190, 4845, 38760, 125970, 184756, 1, 276, 10626, 134596, 735471, 1961256, 2704156, 1, 378, 20475, 376740, 3108105, 13123110, 30421755, 40116600, 1, 496, 35960, 906192, 10518300

Offset

0,3

Links

Table of n, a(n) for n=0..40.

Formula

T(n,k)=C(4n,2k), 0<=k<=n.

Example

First 5 rows of A193633:
1
1...6
1...28....70
1...66....495....924
1...120...1820...8008...12870

Mathematica

p[n_, k_] := Binomial[4 n, 2 k];
TableForm[Table[p[n, k], {n, 0, 8}, {k, 0, n}]]
Flatten[%]

Crossrefs

Cf. A193632.

Sequence in context: A278756 A147327 A145629 * A176289 A118933 A046212

Adjacent sequences: A193630 A193631 A193632 * A193634 A193635 A193636

Keyword

nonn,tabl

Author

Clark Kimberling, Aug 01 2011

Status

approved