Fiboquadratic Sequences and Extensions of the Cassini Identity Raised From the Study of Rithmomachia

• Published in 2015
• Added on 2019-07-18

In this paper, we introduce fiboquadratic sequences as an extension to infinity of the board of Rithmomachia and we prove that this extension gives raise to fiboquadratic sequences which we define here. Also, fiboquadratic sequences provide extensions of Cassini's Identity.

Links

• http://arxiv.org/abs/1509.03177v3
• http://arxiv.org/pdf/1509.03177v3

Other information

BibTeX entry

@article{FiboquadraticSequencesandExtensionsoftheCassiniIdentityRaisedFromtheStudyofRithmomachia,
	key = {FiboquadraticSequencesandExtensionsoftheCassiniIdentityRaisedFromtheStudyofRithmomachia},
	type = {article},
	title = {Fiboquadratic Sequences and Extensions of the Cassini Identity Raised  From the Study of Rithmomachia},
	author = {Tom{\'{a}}s Guardia and Douglas Jim{\'{e}}nez},
	abstract = {In this paper, we introduce fiboquadratic sequences as an extension to
infinity of the board of Rithmomachia and we prove that this extension gives
raise to fiboquadratic sequences which we define here. Also, fiboquadratic
sequences provide extensions of Cassini's Identity.},
	comment = {},
	date_added = {2019-07-18},
	date_published = {2015-12-07},
	urls = {http://arxiv.org/abs/1509.03177v3,http://arxiv.org/pdf/1509.03177v3},
	collections = {Fibonaccinalia,Games to play with friends,History},
	url = {http://arxiv.org/abs/1509.03177v3 http://arxiv.org/pdf/1509.03177v3},
	year = 2015,
	urldate = {2019-07-18},
	archivePrefix = {arXiv},
	eprint = {1509.03177},
	primaryClass = {math.HO}
}