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Search: id:A117116
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| A117116 |
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Denominators of an Egyptian Fraction for phi = (1+sqrt(5))/2. |
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+0
25
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| 1, 2, 9, 145, 37986, 2345721887, 26943815937041299094, 811625643619814151937413504618770581764, 697120590223140234675813998970770820981012350673738243594006422610850113672220
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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For each term, the largest possible unit fraction is used.
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LINKS
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Eric Weisstein's World of Mathematics, Egyptian Fraction
D. Eppstein, Algorithms for Egyptian Fractions
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EXAMPLE
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a(4)=145 because 1/145 is the largest unit fraction less than phi-1/1-1/2-1/9.
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MATHEMATICA
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a = {1}; k = N[(Sqrt[5] - 1)/2, 1000]; Do[s = Ceiling[1/k]; AppendTo[a, s]; k = k - 1/s, {n, 1, 10}]; a [From Artur Jasinski (grafix(AT)csl.pl), Sep 22 2008]
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CROSSREFS
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Cf. A001622.
Sequence in context: A110817 A110860 A050995 this_sequence A133468 A081459 A038843
Adjacent sequences: A117113 A117114 A117115 this_sequence A117117 A117118 A117119
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KEYWORD
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nonn
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AUTHOR
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Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), Apr 19 2006
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EXTENSIONS
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Edited by Don Reble (djr(AT)nk.ca), Apr 21 2006
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