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A113500
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Maximum element in the continued fraction for F(5n+3)^5/F(5n+2)^5 where F=A000045.
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1
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32, 3042, 375131, 46137317, 5674515856, 697919312217, 85838400887831, 10557425389890242, 1298477484555612931, 159702173174950499517, 19642068823034355828656, 2415814763060050816424417
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| B. Cloitre, On rational sequences yielding continued fractions with unbounded coefficients, in preparation
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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)
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PROG
| (PARI) a(n)=vecmax(contfrac(fibonacci(5*n+3)^5/fibonacci(5*n+2)^5))
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CROSSREFS
| Sequence in context: A198284 A111923 A136246 * A064018 A067321 A104652
Adjacent sequences: A113497 A113498 A113499 * A113501 A113502 A113503
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KEYWORD
| nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 10 2006
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