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Search: id:A094008
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| A094008 |
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Primes which are the denominators of convergents of the continued fraction expansion of e. |
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+0
5
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| 3, 7, 71, 18089, 10391023, 781379079653017, 2111421691000680031, 1430286763442005122380663256416207
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The position of a(n) in A000040 (the prime numbers) is A102049(n) = A000720(a(n)). - Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Dec 27 2004
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REFERENCES
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E. B. Burger, Diophantine Olympics ..., Amer. Math. Monthly, 107 (Nov. 2000), 822-829.
J. Sondow, A geometric proof that e is irrational and a new measure of its irrationality, Amer. Math. Monthly, 113 (2006) 637-641.
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics\.
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FORMULA
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a(n) = A007677(A094007(n)) = A000040(A102049(n)). - Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Dec 27 2004
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EXAMPLE
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a(1) = 3 because 3 is the first prime denominator of a convergent, 8/3, of the simple continued fraction for e
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CROSSREFS
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Cf. A094007. See also A000040, A000720, A007677, A102049.
Sequence in context: A127179 A113841 A128072 this_sequence A078552 A091259 A088647
Adjacent sequences: A094005 A094006 A094007 this_sequence A094009 A094010 A094011
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KEYWORD
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nonn
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AUTHOR
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Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Apr 20 2004
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