%I #4 Feb 14 2013 17:46:00
%S 1,0,3,0,0,4,0,0,0,7,0,0,0,0,6,0,0,0,0,0,12,0,0,0,0,0,0,8,0,0,0,0,0,0,
%T 0,15
%N Diagonalized matrix of A000203, Sigma(n).
%C A130207 replaces Sigma(n) with phi(n), A000010. A130209 replaces Sigma(n) with d(n), A000005.
%F Infinite lower triangular matrix with A000203, Sigma(n), in the main diagonal and the rest zeros.
%e First few rows of the triangle are:
%e 1;
%e 0, 3;
%e 0, 0, 4;
%e 0, 0, 0, 7;
%e 0, 0, 0, 0, 6;
%e 0, 0, 0, 0, 0, 12;
%e ...
%o (PARI) for(n=1,9,for(k=2,n,print1("0, "));print1(sigma(n)", ")) \\ _Charles R Greathouse IV_, Feb 14 2013
%Y Cf. A000203, A130207, A130209.
%K nonn,tabl
%O 1,3
%A _Gary W. Adamson_, May 16 2007
|