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%I #11 May 30 2022 08:24:34
%S 2,5,24,134,802,4960,31212,198504,1271754,8192780,53009614,344213930,
%T 2241814696,14637778784,95786210880
%N T(2n,n), array T as in A054126.
%F a(n) = A052509(4*n,3*n+1) + A052509(4*n,n) = 2^(n-1) + Sum_{m=0..n} binomial(3*n,m). for n >= 1. - _Jianing Song_, May 30 2022
%o (PARI) a(n) = if(n==0, 2, 2^(n-1) + sum(m=0, n, binomial(3*n,m))) \\ _Jianing Song_, May 30 2022
%Y Cf. A054126.
%K nonn
%O 0,1
%A _Clark Kimberling_
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