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a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026769.
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%I #8 Oct 26 2019 15:27:19

%S 1,4,19,80,391,1738,8797,40878,212491,1023392,5426518,26891674,

%T 144717381,733600690,3991767587,20603079346,113049604075,591971513924,

%U 3269119157724,17319091807608,96127613360983,514139933872914,2865265217457906,15446276427044382,86367699910234830

%N a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026769.

%K nonn

%O 1,2

%A _Clark Kimberling_

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