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%I #7 Mar 17 2023 21:38:38
%S 1,2,4,9,25,94,520,4521,64793,1581010,67106004,5029631745,
%T 673439168257,162631617757086,71416302988324776,57430160224301687377,
%U 85096038984339418975505,233592305902515392375925762,1193627868786115606927913952196,11402285904243733254203516140245465
%N Antidiagonal sums 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^(c+1))[n-c+1,1]))
%Y Cf. A125790, A078121; columns: A002577, A125792, A125793, A125794, A125795, A125796; diagonals: A125797, A125798.
%K nonn
%O 0,2
%A _Paul D. Hanna_, Dec 10 2006
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