A081459 - cp's OEIS frontend

A081459 Consider the mapping f(r) = (1/2)*(r + N/r) from rationals to rationals where N = 5. Starting with r = 2 and applying the mapping to each new (reduced) rational number gives 2, 9/4, 161/72, 51841/23184, ..., tending to N^(1/2). Sequence gives values of the numerators.

n	a(n)
1	2
2	9
3	161
4	51841
5	5374978561
6	57780789062419261441
7	6677239169351578707225356193679818792961
8	89171045849445921581733341920411050611581102638589828325078491812417901966295041

[2, 9, 161, 51841, 5374978561, 57780789062419261441, 6677239169351578707225356193679818792961, 89171045849445921581733341920411050611581102638589828325078491812417901966295041]

cp's OEIS Frontend

A081459 Consider the mapping f(r) = (1/2)*(r + N/r) from rationals to rationals where N = 5. Starting with r = 2 and applying the mapping to each new (reduced) rational number gives 2, 9/4, 161/72, 51841/23184, ..., tending to N^(1/2). Sequence gives values of the numerators.

Table of values

List of values