A193634 Triangle: T(n,k)=C(4n+1,2k), 0<=k<=n.

1, 1, 10, 1, 36, 126, 1, 78, 715, 1716, 1, 136, 2380, 12376, 24310, 1, 210, 5985, 54264, 203490, 352716, 1, 300, 12650, 177100, 1081575, 3268760, 5200300, 1, 406, 23751, 475020, 4292145, 20030010, 51895935, 77558760, 1, 528, 40920, 1107568

Offset

0,3

Links

Table of n, a(n) for n=0..39.

Formula

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

Example

First 5 rows of A193634:
1
1....10
1....46....226
1....124...2597....9772
1....260...14649...204300...662036

Mathematica

p[n_, k_] := Binomial[4 n + 1, 2 k];
Table[p[n, k], {n, 0, 9}, {k, 0, n}]  (* A193634 *)
Flatten[%]

Crossrefs

Cf. A193632, A193633.

Sequence in context: A085044 A215268 A059022 * A115097 A050313 A116574

Adjacent sequences: A193631 A193632 A193633 * A193635 A193636 A193637

Keyword

nonn,tabl

Author

Clark Kimberling, Aug 01 2011

Status

approved