Search: id:A059183
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%I A059183
%S A059183 1,3,4,4,5,5,5,6,47,109,935,4763,7821,8895,9889,35798,44347,1146551,
%T A059183 7874944,8043393,27403243,34058912,58098040,68760470,80046897,
%U A059183 560099631,611427977,14235032003,602865059026,813485869378
%N A059183 Engel expansion of 1/ln(2) = 1.4427.
%C A059183 Cf. A006784 for definition of Engel expansion
%D A059183 F. Engel, Entwicklung der Zahlen nach Stammbruechen, Verhandlungen der 
               52. Versammlung deutscher Philologen und Schulmaenner in Marburg, 
               1913, pp. 190-191.
%D A059183 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 A059183 <a href="Sindx_El.html#Engel">Index entries for sequences related to 
               Engel expansions</a>
%t A059183 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 A059183 Sequence in context: A053405 A082090 A133196 this_sequence A054760 A079107 
               A023963
%Y A059183 Adjacent sequences: A059180 A059181 A059182 this_sequence A059184 A059185 
               A059186
%K A059183 nonn,easy,nice
%O A059183 1,2
%A A059183 Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu)

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