|
Search: id:A079557
|
|
|
| A079557 |
|
Numerator for global rational approximations. |
|
+0
1
|
| |
|
|
OFFSET
|
1,1
|
|
|
FORMULA
|
a(n) is the smallest integer such that if 0< m1/a(m) < r1/a(r) < 1, m<n and r<n, then there is an integer n1 which satisfies m1/a(m) < n1/a(n) < r1/a(r), but there is no integer n2 with n2/a(n)=m1/a(m) or n2/a(n)=r1/a(r)
|
|
EXAMPLE
|
a(3) is not 4 because 2/4 = 1/2, a(3)=5 because 0 < 1/5 < 1/3 < 2/5 < 1/2 < 3/5 < 2/3 < 4/5 < 1; a(4) is not 7 because if 1/3 < x/7 < 2/5 then x is not an integer
|
|
CROSSREFS
|
Sequence in context: A087580 A072535 A073680 this_sequence A090709 A112279 A130166
Adjacent sequences: A079554 A079555 A079556 this_sequence A079558 A079559 A079560
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
F. A. G. Lahoz (fran(AT)cmp.es), Jan 24 2003
|
|
|
Search completed in 0.002 seconds
|
