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A193633 Triangle: T(n,k)=C(4n,2k), 0<=k<=n. 3

%I #6 Mar 30 2012 18:57:38

%S 1,1,6,1,28,70,1,66,495,924,1,120,1820,8008,12870,1,190,4845,38760,

%T 125970,184756,1,276,10626,134596,735471,1961256,2704156,1,378,20475,

%U 376740,3108105,13123110,30421755,40116600,1,496,35960,906192,10518300

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

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

%e First 5 rows of A193633:

%e 1

%e 1...6

%e 1...28....70

%e 1...66....495....924

%e 1...120...1820...8008...12870

%t p[n_, k_] := Binomial[4 n, 2 k];

%t TableForm[Table[p[n, k], {n, 0, 8}, {k, 0, n}]]

%t Flatten[%]

%Y Cf. A193632.

%K nonn,tabl

%O 0,3

%A _Clark Kimberling_, Aug 01 2011

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Last modified March 29 09:14 EDT 2024. Contains 371268 sequences. (Running on oeis4.)