Search: id:A059179
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%I A059179
%S A059179 1,3,4,4,5,8,9,14,63,91,132,605,753,993,17297,26120,28227,43466,
%T A059179 123132,3551445,7243732,13958201,41249856,194184556,3261328035,
%U A059179 13339681270,18470226192,23831447862,25356135862
%N A059179 Engel expansion of 3^(1/3) = 1.44225.
%C A059179 Cf. A006784 for definition of Engel expansion
%D A059179 F. Engel, Entwicklung der Zahlen nach Stammbruechen, Verhandlungen der 
               52. Versammlung deutscher Philologen und Schulmaenner in Marburg, 
               1913, pp. 190-191.
%D A059179 P. Erdos and J. O. Shallit, New bounds on the length of finite Pierce 
               and Engel series, Sem. Theor. Nombres Bordeaux (2) 3 (1991), no.1, 
               43-53.
%H A059179 <a href="Sindx_El.html#Engel">Index entries for sequences related to 
               Engel expansions</a>
%t A059179 EngelExp[ A_, n_ ] := Join[ Array[ 1&, Floor[ A ] ], First@Transpose@NestList[ 
               {Ceiling[ 1/Expand[ #[ [ 1 ] ]#[ [ 2 ] ]-1 ] ], Expand[ #[ [ 1 ] 
               ]#[ [ 2 ] ]-1 ]}&, {Ceiling[ 1/(A-Floor[ A ]) ], A-Floor[ A ]}, n-1 
               ] ]
%Y A059179 Sequence in context: A111914 A051665 A028263 this_sequence A061117 A111234 
               A014683
%Y A059179 Adjacent sequences: A059176 A059177 A059178 this_sequence A059180 A059181 
               A059182
%K A059179 nonn,easy,nice
%O A059179 1,2
%A A059179 Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu)

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