Search: id:A140076
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%I A140076
%S A140076 1,4,5,7,8,18,384,7958,14304,16623,18610,20685,72923,883177,1516692,
%T A140076 2493788,2504069,22881179,110219466,2241255405,34982468090,64356019489,
%U A140076 110512265214,1142808349967,3550630472116,5238523454726,7129035664265
%N A140076 Pierce expansion of the cube root of 1/2.
%C A140076 2^(-1/3) = 1-1/4(1-1/5(1-1/7(1-1/8(1-1/18(1-1/384(...))))))
%H A140076 G. P. Michon, <a href="http://www.numericana.com/answer/fractions.htm#pierce">
               Pierce Expansions</a>.
%H A140076 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PierceExpansion.html">Pierce Expansion</a>.
%F A140076 Starting with x(1)=2^(-1/3), a(n) = floor(1/x(n)) and x(n+1) = 1-a(n)x(n).
%e A140076 a(1) is 1 because the floor of 2^(1/3) is 1.
%e A140076 a(2)=4 because 1/(1-2^(-1/3)) is 4.8473221...
%Y A140076 Cf. A091831, A006283, A006284, A061233, A118242.
%Y A140076 Sequence in context: A047492 A023629 A033164 this_sequence A135186 A011336 
               A094328
%Y A140076 Adjacent sequences: A140073 A140074 A140075 this_sequence A140077 A140078 
               A140079
%K A140076 easy,nice,nonn
%O A140076 1,2
%A A140076 Gerard P. Michon (g.michon(AT)att.net), Jun 01 2008

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