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a(n) = Sum_{k=0..2n-1} T(n,k) * T(n,k+1), with T given by A025177.
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%I #8 Oct 26 2019 22:34:28

%S 0,6,52,428,3552,29790,251980,2145822,18373296,158025186,1364247180,

%T 11815188000,102606325136,893175905778,7791151047204,68086757974300,

%U 595980599148672,5224392846601730,45857525238248604,402997448078904948,3545390129177031520,31221592914677352138

%N a(n) = Sum_{k=0..2n-1} T(n,k) * T(n,k+1), with T given by A025177.

%K nonn

%O 1,2

%A _Clark Kimberling_

%E a(1) corrected and more terms from _Sean A. Irvine_, Oct 26 2019