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a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026758.
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%I #8 Oct 25 2019 09:59:29

%S 1,4,19,72,355,1347,6843,26077,135752,519336,2760110,10591394,

%T 57299551,220393887,1210772453,4665698732,25974365600,100243916036,

%U 564517479641,2181476412875,12407767954139,48002072364351,275392803316254,1066512702720864,6164746100658825,23896975393255717

%N a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026758.

%K nonn

%O 1,2

%A _Clark Kimberling_

%E More terms from _Sean A. Irvine_, Oct 24 2019