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A193633
Triangle: T(n,k)=C(4n,2k), 0<=k<=n.
3
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
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
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Aug 01 2011
STATUS
approved