Search: id:A117116
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%I A117116
%S A117116 1,2,9,145,37986,2345721887,26943815937041299094,
%T A117116 811625643619814151937413504618770581764,
%U A117116 697120590223140234675813998970770820981012350673738243594006422610850113672220
%N A117116 Denominators of an Egyptian Fraction for phi = (1+sqrt(5))/2.
%C A117116 For each term, the largest possible unit fraction is used.
%H A117116 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               EgyptianFraction.html">Egyptian Fraction</a>
%H A117116 D. Eppstein, <a href="http://www.ics.uci.edu/%7Eeppstein/numth/egypt/
               intro.html">Algorithms for Egyptian Fractions</a>
%e A117116 a(4)=145 because 1/145 is the largest unit fraction less than phi-1/1-1/
               2-1/9.
%t A117116 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]
%Y A117116 Cf. A001622.
%Y A117116 Sequence in context: A110817 A110860 A050995 this_sequence A133468 A081459 
               A038843
%Y A117116 Adjacent sequences: A117113 A117114 A117115 this_sequence A117117 A117118 
               A117119
%K A117116 nonn
%O A117116 0,2
%A A117116 Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), Apr 19 2006
%E A117116 Edited by Don Reble (djr(AT)nk.ca), Apr 21 2006

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