A113506 - OEIS

This site is supported by donations to The OEIS Foundation.

A113506

Maximum element in the continued fraction expansion of F(n+1)^5/F(n)^5 where F=A000045.

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	`5a(5n)=F(10n+1)-(-1)^n-5; 5a(5n+1)=F(10n+3)-2(-1)^n-5; a(5n+2)=5F(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`

Content is available under The OEIS End-User License Agreement .

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