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%I #9 May 30 2022 08:24:47
%S 3,13,68,394,2396,14925,94248,600498,3851012,24821845,160646528,
%T 1043245180,6794418992,44360061964,290244849376
%N T(2n+1,n), array T as in A054126.
%F a(n) = A052509(4*n+2,3*n+2) + A052509(4*n+2,n+1) = 2^n + Sum_{m=0..n+1} binomial(3*n+1,m). - _Jianing Song_, May 30 2022
%o (PARI) a(n) = 2^n + sum(m=0, n+1, binomial(3*n+1,m)) \\ _Jianing Song_, May 30 2022
%K nonn
%O 0,1
%A _Clark Kimberling_
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