Please use this identifier to cite or link to this item: http://hdl.handle.net/2080/2473
Full metadata record
DC FieldValueLanguage
dc.contributor.authorPanda, G K-
dc.date.accessioned2016-03-28T06:24:21Z-
dc.date.available2016-03-28T06:24:21Z-
dc.date.issued2016-03-
dc.identifier.citationInternational Conference on Diophantine Analysis and Related Topics, Wuhan, China, 10-13 March 2016en_US
dc.identifier.urihttp://hdl.handle.net/2080/2473-
dc.description.abstractThe problem of finding sums of specific sequences of natural numbers had been a fascination to mathematicians. In this connection, there is an interesting story about the famous German mathematician Carl Friedrich Gauss when he was just eight years old and was in primary school. One day Gauss' teacher asked his class to add together all the numbers from 1 to 100, assuming that this task would occupy them for quite a while. He was shocked when young Gauss, after a few seconds thought, wrote down the answer 5050. There are binary recurrence sequences having sum formulas resembling that for natural numbers, e.g. the sum of first n odd positive integers is equal to n^2, while the sum of first n odd balancing numbers is equal to the square of the nth balancing numbers. The talk focuses on certain sum formulas involving balancing numbers. In each formula, if the balancing numbers is replaced by its index, it reduces to a known formula for natural numbers.en_US
dc.subjectFascinating Sumen_US
dc.subjectBalancing Numberen_US
dc.titleSome Fascinating Sum Formula Involving Balancing Numberen_US
dc.typePresentationen_US
Appears in Collections:Conference Papers

Files in This Item:
File Description SizeFormat 
2016_ICDAR_GKPanda.pdf846.49 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.