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%I #2 Mar 30 2012 18:37:04
%S 1,1,2,14,336,25836,6251504,4838830976,12344615283200,
%T 106978340796778976,3229124399759665954432,
%U 346176173916459184212747520,133788163509847808639178273046528
%N Column 0 of triangle A132625.
%C Triangle T=A132625 is generated by matrix powers of itself such that row n+1 of T = row n of T^(2^n) with appended '1' for n>=0 with T(0,0)=1.
%o (PARI) {a(n)=local(A=vector(n+1), p); A[1]=1; for(j=1, n, p=2^n-2^(n-j)-j; A=Vec((Polrev(A)+x*O(x^p))/(1-x))); A[p+1]}
%Y Cf. A132625, A132627.
%K nonn
%O 0,3
%A _Paul D. Hanna_, Aug 25 2007
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