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a(n) = Sum_{k=0..2n-1} T(n,k) * T(n,k+1), with T given by A027082.
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%I #8 Oct 23 2019 20:13:20

%S 2,11,80,591,4492,34859,274834,2194175,17697088,143951359,1179361946,

%T 9721994363,80573155210,670916858663,5609929650932,47082821529795,

%U 396479220532944,3348822504340655,28363386616346538,240832364304754043,2049614659600342062

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

%K nonn

%O 1,1

%A _Clark Kimberling_

%E More terms from _Sean A. Irvine_, Oct 23 2019