%I #12 May 13 2013 11:47:13
%S 1,4,21,112,615,3432,19383,110448,633726,3656360,21191555,123286440,
%T 719539015,4210967880,24702429825,145210795200,855172338570,
%U 5044470461352,29799593861974,176268499363840,1043889366927771,6188748520285584,36726461258947569,218146172715259488,1296812014083995850
%N T(2n,n-1), T given by A027907.
%F G.f.: -g*(g^2+g+1)/(3*g^2+g-1) where g = x times the g.f. of A143927. - _Mark van Hoeij_, Nov 16 2011
%p seq(add(binomial(j,2*j-3*n-4)*binomial(2*n+2,j),j=0...2*n+2),n=0..25); # _Mark van Hoeij_, May 12 2013
%o (PARI) a(n)=sum(j=0,2*n+2,binomial(j, 2*j-3*n-4)*binomial(2*n+2, j)); \\ _Joerg Arndt_, May 13 2013~
%K nonn
%O 0,2
%A _Clark Kimberling_
%E Corrected offset, more terms, _Joerg Arndt_, May 13 2013