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%I #5 Jun 14 2017 00:16:24
%S 1,2,9,84,1625,64350,5174449,841185704,275723872209,181906966455026,
%T 241258554545388985,642662865556736504700,3436011253857466940820073,
%U 36852501476559726217536067974,792571351187806816558255494473185
%N Main diagonal of table A125790.
%C Table A125790 is related to partitions into powers of 2, with A002577 in column 1 of A125790; further, column k of A125790 equals row sums of matrix power A078121^k, where triangle A078121 shifts left one column under matrix square.
%o (PARI) a(n)=local(q=2,A=Mat(1), B); for(m=1, n+1, B=matrix(m, m); for(i=1, m, for(j=1, i, if(j==i || j==1, B[i, j]=1, B[i, j]=(A^q)[i-1, j-1]); )); A=B); return(sum(c=0,n,(A^n)[n+1,c+1]))
%Y Cf. A125790, A078121; columns: A002577, A125792, A125793, A125794, A125795, A125796; A125798 (diagonal).
%K nonn
%O 0,2
%A _Paul D. Hanna_, Dec 10 2006
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