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A113506 Maximum element in the continued fraction expansion of F(n+1)^5/F(n)^5 where F=A000045. 0
1, 32, 7, 12, 17, 46, 3042, 319, 835, 2188, 5730, 375131, 39282, 102845, 269253, 704915, 46137317, 4831563, 12649196, 33116027, 86698886, 5674515856, 594243013, 1555748409, 4073002214, 10663258234, 697919312217, 73087059232 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

FORMULA

5*a(5n)=F(10n+1)-(-1)^n-5; 5*a(5n+1)=F(10n+3)-2*(-1)^n-5; a(5n+2)=5*F(10n+5)+7*(-1)^n-1; 5a(5n+3)=F(10n+7)-3*(-1)^n-5; 5a(5n+4)=F(10n+9)+(-1)^n-5

PROG

(PARI) a(n)=vecmax(contfrac(fibonacci(n+1)^5/fibonacci(n)^5))

CROSSREFS

Cf. A113500.

Sequence in context: A058382 A070617 A198065 * A120315 A119362 A070630

Adjacent sequences:  A113503 A113504 A113505 * A113507 A113508 A113509

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 11 2006

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Last modified February 15 23:21 EST 2012. Contains 205860 sequences.