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

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, 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, 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

Offset: 1

Author

Henry Bottomley, May 06 2003

Keywords

• nonn

Comments

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.

Examples

			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.
		

Formula

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