A076885 - OEIS

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A076885

Let u(0)=1, u(1)=1 u(n) = u(n-1) + u(n-2) - n*z where z = (5-sqrt(5))/10 =0.27..., then a(n)=floor(u(n)).

1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,6`
	COMMENTS	`u(n) diverges to + infinity if z<(5-sqrt(5))/10; - infinity if z>(5-sqrt(5))/10`
	FORMULA	`a(n) = floor( (1/10)(n(5-sqrt(5)) - 15+3sqrt(5))); u(n) - zn -> (15-3*sqrt(5))/10`
	CROSSREFS	`Sequence in context: A172263 A140437 A050500 * A051889 A086707 A194920` `Adjacent sequences: A076882 A076883 A076884 * A076886 A076887 A076888`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 25 2002`

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Last modified February 16 05:39 EST 2012. Contains 205860 sequences.