A193632 Triangle: T(n,k)=C(4n-1,2k), 0<=k<=n.

1, 1, 3, 1, 21, 35, 1, 55, 330, 462, 1, 105, 1365, 5005, 6435, 1, 171, 3876, 27132, 75582, 92378, 1, 253, 8855, 100947, 490314, 1144066, 1352078, 1, 351, 17550, 296010, 2220075, 8436285, 17383860, 20058300, 1, 465, 31465, 736281, 7888725

Offset

0,3

Links

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

Formula

T(n,k)=C(4n-1,2k), 0<=k<=n.

Example

First 5 rows of A193632:
1
1....3
1....24....44
1....79....878....1434
1....184...6588...50947...77965

Mathematica

p[n_, k_] := Binomial[4 n - 1, 2 k];
Table[p[n, k], {n, 0, 8}, {k, 0, n}]  (* A193632 *)
Flatten[%]

Crossrefs

Cf. A193633.

Sequence in context: A113090 A223549 A138354 * A346412 A346214 A190962

Adjacent sequences: A193629 A193630 A193631 * A193633 A193634 A193635

Keyword

nonn,tabl

Author

Clark Kimberling, Aug 01 2011

Status

approved