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

Title: Sequence Balancing and Cobalancing Numbers
Authors: Panda, G K
Keywords: Triangular number
Pronic number
Balancing number
Cobalancing number
Issue Date: 2007
Publisher: The Fibonacci Association
Citation: Fibonacci Quarterly, 2007 (Accepted Post-print)
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
Description: Copyright for the published version belongs to The Fibonacci Association. This is Accepted Post-print
URI: http://hdl.handle.net/2080/421
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