id:A123167 - OEIS Search Results

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Continued fraction for c=sqrt(2)*(exp(sqrt(2))+1)/(exp(sqrt(2))-1). a(2n-1)=8n-6, a(2n)=4n-1.

+0
1

2, 3, 10, 7, 18, 11, 26, 15, 34, 19, 42, 23, 50, 27, 58, 31, 66, 35, 74, 39, 82, 43, 90, 47, 98, 51, 106, 55, 114, 59, 122, 63, 130, 67, 138, 71, 146, 75, 154, 79, 162, 83, 170, 87, 178, 91, 186, 95, 194, 99, 202, 103, 210, 107, 218, 111, 226, 115, 234, 119, 242, 123 (list; graph; listen)

	OFFSET	`1,1`
	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	`Sequence in context: A078730 A163767 A128531 this_sequence A141670 A074068 A055655` `Adjacent sequences: A123164 A123165 A123166 this_sequence A123168 A123169 A123170`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (abmt(AT)orange.fr), Oct 02 2006`

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Last modified December 5 17:24 EST 2009. Contains 170342 sequences.

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