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Two-column table read by rows: row n (n >= 1) gives a squarefree integer x and an integer y such that n = x*y^2.
2

%I #6 Sep 08 2022 08:45:24

%S 1,1,2,1,3,1,1,2,5,1,6,1,7,1,2,2,1,3,10,1,11,1,3,2,13,1,14,1,15,1,1,4,

%T 17,1,2,3,19,1,5,2,21,1,22,1,23,1,6,2,1,5,26,1,3,3,7,2,29,1,30,1,31,1,

%U 2,4,33,1,34,1,35,1,1,6,37,1,38,1,39,1,10,2,41,1,42,1,43,1,11

%N Two-column table read by rows: row n (n >= 1) gives a squarefree integer x and an integer y such that n = x*y^2.

%e Table begins:

%e 1 1

%e 2 1

%e 3 1

%e 1 2 (so 4 = 1*2^2)

%e 5 1

%e 6 1

%e 7 1

%e 2 2 (so 8 = 2*2^2)

%e 1 3

%e 10 1

%e 11 1

%e 3 2

%e 13 1

%e 14 1

%e 15 1

%e 1 4

%o (Magma) at:=0; for n in [1..100] do print Squarefree(n); end for;

%Y The two columns are A007913, A000188.

%K nonn,tabf

%O 1,3

%A _N. J. A. Sloane_, Dec 23 2006