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%I #8 Jun 14 2017 00:16:28
%S 1,5,25,165,1625,25509,664665,29559717,2290267225,314039061413,
%T 77160820913241,34317392762489765,27859502236825957465,
%U 41575811106337540656037,114746581654195790543205465,588765612737696531880325270437,5642056933026209681424588087899225
%N Column 4 of table A125790; also equals row sums of matrix power A078121^4.
%C Triangle A078121 shifts left one column under matrix square and is related to partitions into powers of 2.
%H Alois P. Heinz, <a href="/A125794/b125794.txt">Table of n, a(n) for n = 0..50</a>
%o (PARI) a(n)=local(p=4,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, A125795, A125796; diagonals: A125797, A125798.
%Y A diagonal of A152977.
%K nonn
%O 0,2
%A _Paul D. Hanna_, Dec 10 2006
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