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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 |
| Appears in Collections: | Journal Articles |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Sequence Balancing and Cobalancing Numbers (Final).pdf | 91.74 kB | Adobe PDF | View/Open |
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