General Fibonacci Numbers - Revision history

Admin at 00:34, 12 January 2018

2018-01-12T00:34:53Z

← Older revision		Revision as of 00:34, 12 January 2018
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	<math>		<math>
	G(a,b,n) = G(a,b,n-1) + G(a,b,n-2) ~~\qquad~~ G(a,b,0) = a, G(a,b,1) = b		G(a,b,n) = G(a,b,n-1) + G(a,b,n-2)
			</math>

			<math>
			G(a,b,0) = a
			</math>

			<math>
			G(a,b,1) = b
	</math>		</math>

Admin at 23:27, 16 July 2017

2017-07-16T23:27:47Z

← Older revision		Revision as of 23:27, 16 July 2017
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	{{ConstantsFlag}}		{{ConstantsFlag}}

	~~The~~ Fibonacci ~~number~~ idea ~~of adding number n-2 to number n-1,~~ and ~~the~~ Lucas ~~number idea of using alternative starting integers~~, can be ~~generalized to define~~ a ~~Fibonacci~~-~~type sequence for any~~ two ~~arbitrary~~ starting ~~integers~~.		General Fibonacci numbers generalize the idea behind the Fibonacci and Lucas numbers, and can be written as a function of two additional variables <math>a, b</math> - the two starting values of the sequence.

			<math>
			G(a,b,n) = G(a,b,n-1) + G(a,b,n-2) \qquad G(a,b,0) = a, G(a,b,1) = b
			</math>

Admin at 21:02, 16 July 2017

2017-07-16T21:02:41Z

← Older revision		Revision as of 21:02, 16 July 2017
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	{{~~ConstantFlag~~}}		{{ConstantsFlag}}

	The Fibonacci number idea of adding number n-2 to number n-1, and the Lucas number idea of using alternative starting integers, can be generalized to define a Fibonacci-type sequence for any two arbitrary starting integers.		The Fibonacci number idea of adding number n-2 to number n-1, and the Lucas number idea of using alternative starting integers, can be generalized to define a Fibonacci-type sequence for any two arbitrary starting integers.

Admin at 21:00, 16 July 2017

2017-07-16T21:00:13Z

← Older revision		Revision as of 21:00, 16 July 2017
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			{{ConstantFlag}}

	The Fibonacci number idea of adding number n-2 to number n-1, and the Lucas number idea of using alternative starting integers, can be generalized to define a Fibonacci-type sequence for any two arbitrary starting integers.		The Fibonacci number idea of adding number n-2 to number n-1, and the Lucas number idea of using alternative starting integers, can be generalized to define a Fibonacci-type sequence for any two arbitrary starting integers.

Admin: Created page with "The Fibonacci number idea of adding number n-2 to number n-1, and the Lucas number idea of using alternative starting integers, can be generalized to define a Fibonacci-type s..."

2017-07-16T20:59:48Z

Created page with "The Fibonacci number idea of adding number n-2 to number n-1, and the Lucas number idea of using alternative starting integers, can be generalized to define a Fibonacci-type s..."

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The Fibonacci number idea of adding number n-2 to number n-1, and the Lucas number idea of using alternative starting integers, can be generalized to define a Fibonacci-type sequence for any two arbitrary starting integers.