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a(n) = Sum_{k=0..n} T(n,k) * T(n,n+k), with T given by A027113.
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%I #8 Oct 23 2019 22:08:03

%S 1,3,12,57,264,1261,6141,30276,150853,758145,3836896,19534086,

%T 99957904,513756551,2650822585,13724435509,71275344341,371177285715,

%U 1937791196448,10139548682524,53165765660928,279301910804937

%N a(n) = Sum_{k=0..n} T(n,k) * T(n,n+k), with T given by A027113.

%K nonn

%O 0,2

%A _Clark Kimberling_