id:A123169 - OEIS Search Results

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Continued fraction for sqrt(1/2)*(exp(sqrt(1/2))-1)/(exp(sqrt(1/2))+1).

+0
1

0, 4, 6, 20, 14, 36, 22, 52, 30, 68, 38, 84, 46, 100, 54, 116, 62, 132, 70, 148, 78, 164, 86, 180, 94, 196, 102, 212, 110, 228, 118, 244, 126, 260, 134, 276, 142, 292, 150, 308, 158, 324, 166, 340, 174, 356, 182, 372, 190, 388, 198, 404, 206, 420, 214, 436, 222, 452 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`This continued fraction shows exp(sqrt(1/2)) is irrationnal.`
	REFERENCES	`J. Borwein and D. Bailey, Mathematics by experiment, plausible reasoning in the 21st Century, A. K. Peters, p. 77`
	FORMULA	`a(1)=0, for n>=1 a(2n)=16n-12, a(2n+1)=8n-2.`
	CROSSREFS	`Adjacent sequences: A123166 A123167 A123168 this_sequence A123170 A123171 A123172` `Sequence in context: A013126 A012969 A057789 this_sequence A023863 A024480 A066193`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (abmt(AT)orange.fr), Oct 02 2006`

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Last modified October 12 12:19 EDT 2008. Contains 144830 sequences.

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