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%I #2 Mar 30 2012 18:37:08
%S 1,6,39,300,2741,29380,363922,5135894,81557270,1441771540,28114817877,
%T 600012111858,13919315033624,348932593149877,9403371859278914,
%U 271183690566871863,8335374900994682248,272083236017290793444
%N Column 1 of triangle A135888, which equals the matrix cube of triangle A135880; also equals column 1 of triangle A135895.
%o (PARI) {a(n)=local(P=Mat(1),R,PShR);if(n==0,1,for(i=0,n+1, PShR=matrix(#P,#P, r,c, if(r>=c,if(r==c,1,if(c==1,0,P[r-1,c-1]))));R=P*PShR; R=matrix(#P+1, #P+1, r,c, if(r>=c, if(r<#P+1,R[r,c], if(c==1,(P^2)[ #P,1],(P^(2*c-1))[r-c+1,1])))); P=matrix(#R, #R, r,c, if(r>=c, if(r<#R,P[r,c], (R^c)[r-c+1,1]))));(P^3)[n+2,2])}
%Y Cf. A135888, A135889; A135880, A135895.
%K nonn
%O 0,2
%A _Paul D. Hanna_, Dec 15 2007
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