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%I #19 Jun 19 2016 12:34:07
%S 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,
%T 420,672,924,1,128,254,492,912,1584,2508,3432,1,256,510,1002,1914,
%U 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
%N 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).
%H Kenny Lau, <a href="/A274292/b274292.txt">Table of n, a(n) for n = 0..1034</a>
%H Niket Gowravaram, <a href="https://math.mit.edu/research/highschool/primes/materials/2015/Niket.pdf">A Variation of the nil-Temperley-Lieb algebras of type A</a>, Preprint, 2015.~
%e Triangle begins:
%e 1,
%e 1,2,
%e 1,4,6,
%e 1,8,14,20,
%e 1,16,30,50,70,
%e 1,32,62,112,182,252,
%e ...
%Y See A039597 for another version.
%Y Cf. A009766, A274293.
%K nonn,tabl,easy
%O 0,3
%A _N. J. A. Sloane_, Jun 18 2016
%E More terms from _Kenny Lau_, Jun 19 2016
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