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

1,2

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.

Links

Table of n, a(n) for n=1..105.

Formula

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

Example

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.

Crossrefs

Sequence in context: A318198 A335195 A363266 * A062565 A175137 A156344

Adjacent sequences: A083852 A083853 A083854 * A083856 A083857 A083858

Keyword

nonn

Author

Henry Bottomley, May 06 2003

Status

approved