id:A123168 - OEIS Search Results

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Continued fraction for c=sqrt(2)*(exp(sqrt(2))-1)/(exp(sqrt(2))+1). a(2n)=4n-3, a(2n+1)=8n-2.

+0
2

0, 1, 6, 5, 14, 9, 22, 13, 30, 17, 38, 21, 46, 25, 54, 29, 62, 33, 70, 37, 78, 41, 86, 45, 94, 49, 102, 53, 110, 57, 118, 61, 126, 65, 134, 69, 142, 73, 150, 77, 158, 81, 166, 85, 174, 89, 182, 93, 190, 97, 198, 101, 206, 105, 214, 109, 222, 113 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`This continued fraction shows exp(sqrt(2)) is irrationnal.`
	REFERENCES	`J. Borwein and D. Bailey, Mathematics by experiment, plausible reasoning in the 21st Century, A. K. Peters, p. 77`
	CROSSREFS	`Adjacent sequences: A123165 A123166 A123167 this_sequence A123169 A123170 A123171` `Sequence in context: A103132 A046627 A120114 this_sequence A119636 A101493 A039668`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (abmt(AT)orange.fr), Oct 02 2006`

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Last modified November 8 20:39 EST 2009. Contains 166234 sequences.

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