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A123167 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

page 1

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


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