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a(n) = Sum_{k=0..floor((n-3)/2)} T(n,k) * T(n,k+2), with T given by A008315.
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%I #11 Jan 03 2024 06:29:37

%S 2,5,34,98,496,1545,7010,22924,98636,333463,1393014,4824350,19795200,

%T 69818507,283195638,1013208668,4078132240,14758843463,59087809638,

%U 215859015800,860951003152,3169965920150,12609168181324,46735070397768,185532421441976,691582241867227

%N a(n) = Sum_{k=0..floor((n-3)/2)} T(n,k) * T(n,k+2), with T given by A008315.

%K nonn

%O 3,1

%A _Clark Kimberling_

%E More terms from _Sean A. Irvine_, Oct 26 2019