|
Search: id:A113500
|
|
|
| A113500 |
|
Maximum element in the continued fraction for F(5n+3)^5/F(5n+2)^5 where F=A000045. |
|
+0
2
|
|
| 32, 3042, 375131, 46137317, 5674515856, 697919312217, 85838400887831, 10557425389890242, 1298477484555612931, 159702173174950499517, 19642068823034355828656, 2415814763060050816424417
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
REFERENCES
|
B. Cloitre, On rational sequences yielding continued fractions with unbounded coefficients, in preparation
|
|
FORMULA
|
n>0 a(n)=2*L(10*n+4)+L(10*n+5)+(-1)^n*7-1 where L(k) denotes the k-th Lucas number L(k)=F(k-1)+F(k+1)
|
|
PROGRAM
|
(PARI) a(n)=vecmax(contfrac(fibonacci(5*n+3)^5/fibonacci(5*n+2)^5))
|
|
CROSSREFS
|
Sequence in context: A077143 A111923 A136246 this_sequence A064018 A067321 A104652
Adjacent sequences: A113497 A113498 A113499 this_sequence A113501 A113502 A113503
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 10 2006
|
|
|
Search completed in 0.002 seconds
|
