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a(n) = Sum_{k=0..n-1} T(n,k) * T(n,2n-k), with T given by A027082.
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%I #8 Oct 23 2019 20:08:34

%S 1,5,16,68,276,1084,4227,16207,61348,229888,853737,3146649,11522891,

%T 41959547,152044236,548575204,1971713228,7062750256,25222033633,

%U 89824310345,319101174069,1131049761757,4000730847474,14124602551114

%N a(n) = Sum_{k=0..n-1} T(n,k) * T(n,2n-k), with T given by A027082.

%K nonn

%O 1,2

%A _Clark Kimberling_