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%I #7 Mar 17 2023 21:49:07
%S 1,6,36,286,3396,64350,2026564,109082974,10243585092,1704787839326,
%T 509106367263812,275575947307878750,272638898948894782532,
%U 496470192421055920965982,1674003944602430578138969156,10505662319550964196499807897950,123269344114733507237294056110191684
%N Column 5 of table A125790; also equals row sums of matrix power A078121^5.
%C Triangle A078121 shifts left one column under matrix square and is related to partitions into powers of 2.
%o (PARI) a(n)=local(p=5,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^p)[n+1,c+1]))
%Y Cf. A125790, A078121; columns: A002577, A125792, A125793, A125794, A125796; diagonals: A125797, A125798.
%K nonn
%O 0,2
%A _Paul D. Hanna_, Dec 10 2006
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