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A083855 Multiplicands in the list of numbers which are squares, twice squares, three times squares, or six times squares (A083854). 3

%I #7 Jan 13 2013 05:55:57

%S 1,2,3,1,6,2,1,3,1,2,6,1,3,2,1,3,1,2,6,1,2,3,1,6,2,1,3,1,2,1,3,6,2,1,

%T 3,1,2,6,1,2,3,1,2,1,6,3,1,2,1,3,6,2,1,3,1,2,1,6,3,2,1,1,2,3,6,1,2,3,

%U 1,2,6,1,3,1,2,1,6,3,2,1,1,2,3,6,1,2,3,1,2,1,6,3,1,2,1,3,6,2,1,1,3,2,1,6,2

%N Multiplicands in the list of numbers which are squares, twice squares, three times squares, or six times squares (A083854).

%C 1, 2, 3 and 6 appear in the ratios sqrt(6):sqrt(3):sqrt(2):1, i.e. with proportions 0.3713..., 0.2626..., 0.2144... and 0.1516... respectively. A083855 is that which would appear using the d'Hondt method (A055440) on these.

%F a(n) =A007913(A083854(n)).

%e A083854 starts 1, 2, 3, 4, 6, 8, 9, 12, 16, etc.; i.e. 1*1^2, 2*1^2, 3*1^2, 1*2^2, 6*1^2, 2*2^2, 1*3^2, 3*2^2, 1*4^2, etc. giving 1, 2, 3, 1, 6, 2, 1, 3, 1, etc.

%K nonn

%O 1,2

%A _Henry Bottomley_, May 06 2003

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