A274292 Triangle read by rows: T(n,k) (0<=k<=n) given by T(n,0)=1, T(n,n) = binomial(2n,n); otherwise T(n,k) = T(n,k-1)+T(n-1,k).

1, 1, 2, 1, 4, 6, 1, 8, 14, 20, 1, 16, 30, 50, 70, 1, 32, 62, 112, 182, 252, 1, 64, 126, 238, 420, 672, 924, 1, 128, 254, 492, 912, 1584, 2508, 3432, 1, 256, 510, 1002, 1914, 3498, 6006, 9438, 12870, 1, 512, 1022, 2024, 3938, 7436, 13442, 22880, 35750, 48620, 1, 1024, 2046, 4070, 8008, 15444, 28886, 51766, 87516, 136136, 184756

Offset

0,3

Links

Kenny Lau, Table of n, a(n) for n = 0..1034

Niket Gowravaram, A Variation of the nil-Temperley-Lieb algebras of type A, Preprint, 2015.~

Example

Triangle begins:
1,
1,2,
1,4,6,
1,8,14,20,
1,16,30,50,70,
1,32,62,112,182,252,
...

Crossrefs

See A039597 for another version.

Cf. A009766, A274293.

Sequence in context: A181854 A109822 A372396 * A359670 A114192 A114656

Adjacent sequences: A274289 A274290 A274291 * A274293 A274294 A274295

Keyword

nonn,tabl,easy

Author

N. J. A. Sloane, Jun 18 2016

Extensions

More terms from Kenny Lau, Jun 19 2016

Status

approved