|
Search: id:A072729
|
|
|
| A072729 |
|
Denominator of rationals >= 1 whose continued fractions consist only of 1's and 2's, in ascending order by the sum of the continued fraction terms and descending by lowest order continued fraction terms to highest. |
|
+0
4
|
|
| 1, 1, 2, 2, 3, 3, 5, 5, 5, 5, 8, 7, 8, 8, 7, 8, 12, 13, 11, 12, 13, 12, 13, 11, 12, 13, 19, 19, 21, 17, 18, 19, 19, 21, 19, 19, 21, 17, 18, 19, 19, 21, 29, 31, 30, 31, 34, 27, 26, 29, 29, 31, 30, 31, 34
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
FORMULA
|
a(F(n)+F(n-3)+m) = a(F(n-1)+m) + a(F(n-3)+m) when 0<m<=F(n-2), n>2; a(F(n)+m) = 2*a(F(n-2)+m) + a(F(n-4)+m) when 0<m<=F(n-3), n>3; where a(0)=1, a(F(n+1)-1) = F(n) = n-th Fibonacci number; a(F(2n+1)) = n-th Pell number.
|
|
CROSSREFS
|
Cf. A072728, A071585, A071766, A072726, A072727, A000129.
Sequence in context: A139807 A167755 A033302 this_sequence A057872 A059974 A045767
Adjacent sequences: A072726 A072727 A072728 this_sequence A072730 A072731 A072732
|
|
KEYWORD
|
easy,frac,nice,nonn
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Jul 09 2002
|
|
|
Search completed in 0.002 seconds
|
