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

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contributor.authorPanda, G K-
identifier.citationFibonacci Quarterly, 2007 (Accepted Post-print)en
descriptionCopyright for the published version belongs to The Fibonacci Association. This is Accepted Post-printen
description.abstractThe 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 enden
format.extent93944 bytes-
publisherThe Fibonacci Associationen
subjectTriangular numberen
subjectPronic numberen
subjectBalancing numberen
subjectCobalancing numberen
titleSequence Balancing and Cobalancing Numbersen
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