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a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026725.
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%I #15 Oct 26 2019 11:10:48

%S 1,7,34,173,741,3549,14670,68683,279715,1294598,5233060,24052965,

%T 96822587,442972139,1778697948,8110611295,32516501991,147897243768,

%U 592346459071,2688895275974,10762289869782,48776681304283,195143578562778,883272843800993,3532739195660162

%N a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026725.

%p A027209 := proc(n)

%p add( A026725(n,k)*A026725(n,k+2),k=0..n-2) ;

%p end proc: # _R. J. Mathar_, Oct 21 2019

%K nonn

%O 2,2

%A _Clark Kimberling_

%E Name corrected by _R. J. Mathar_, Oct 21 2019

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