id:A089260 - OEIS Search Results

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Decimal expansion of -x, the largest negative root of the equation Fibonacci(x) = 0.

+0
2

1, 8, 3, 8, 0, 2, 3, 5, 9, 6, 9, 2, 9, 5, 5, 6, 0, 4, 9, 1, 3, 9, 6, 9, 0, 1, 0, 1, 5, 1, 2, 6, 6, 7, 3, 4, 2, 5, 7, 1, 2, 2, 7, 1, 9, 8, 6, 5, 3, 4, 2, 8, 1, 7, 0, 9, 4, 9, 6, 0, 8, 2, 7, 7, 0, 1, 4, 4, 7, 8, 9, 4, 0, 4, 7, 7, 4, 0, 6, 1, 4, 5, 6, 6, 5, 4, 9, 6, 3, 4, 8, 5, 8, 7, 8, 3, 7, 3, 4, 0 (list; cons; graph; listen)

	OFFSET	`0,2`
	COMMENT	`For a complex number z, the Fibonacci function is defined to be (phi^z - Cos(z Pi)/phi^z) / Sqrt(5), where phi is the golden ratio (1 + Sqrt[5])/2. There are zeros at z=0 and an infinite number of negative numbers that approach n + 0.5, for all negative integers n.`
	LINKS	`Eric Weisstein's World of Mathematics, Fibonacci Number`
	EXAMPLE	`0.183802359692955604913...`
	MATHEMATICA	`RealDigits[ -x/.FindRoot[Fibonacci[x]==0, {x, -0.2}, WorkingPrecision->100]][[1]]`
	CROSSREFS	`Cf. A089261 (continued fraction).` `Sequence in context: A061444 A011214 A119806 this_sequence A109866 A097079 A021548` `Adjacent sequences: A089257 A089258 A089259 this_sequence A089261 A089262 A089263`
	KEYWORD	`cons,nonn`
	AUTHOR	`T. D. Noe (noe(AT)sspectra.com), Oct 27 2003`

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Last modified December 1 19:22 EST 2009. Contains 167811 sequences.

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