Sequence Balancing and Cobalancing Numbers

Please use this identifier to cite or link to this item: http://hdl.handle.net/2080/421

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DC Field	Value	Language
dc.contributor.author	Panda, G K	-
dc.date.accessioned	2007-04-14T09:46:23Z	-
dc.date.available	2007-04-14T09:46:23Z	-
dc.date.issued	2007	-
dc.identifier.citation	Fibonacci Quarterly, 2007 (Accepted Post-print)	en
dc.identifier.uri	http://hdl.handle.net/2080/421	-
dc.description	Copyright for the published version belongs to The Fibonacci Association. This is Accepted Post-print	en
dc.description.abstract	The concept of balancing and cobalancing numbers is generalized to an arbitrary sequence; thereby sequence balancing numbers and sequence cobalancing numbers are introduced and defined. It is proved that there does not exist any sequence balancing number in the Fibonacci sequence and the only sequence cobalancing number in the Fibonacci sequence is F2 = 1. Higher order balancing and cobalancing numbers are also introduced. A result on nonexistence of third order balancing and cobalancing numbers is also proved. A conjecture on the nonexistence of solutions of higher order balancing and cobalancing numbers is also stated at the end	en
dc.format.extent	93944 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	-
dc.publisher	The Fibonacci Association	en
dc.subject	Triangular number	en
dc.subject	Pronic number	en
dc.subject	Balancing number	en
dc.subject	Cobalancing number	en
dc.title	Sequence Balancing and Cobalancing Numbers	en
dc.type	Article	en
Appears in Collections:	Journal Articles

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