Search: id:A059182
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%I A059182
%S A059182 1,1,4,5,20,30,48,74,265,818,897,2027,5107,6846,13049,236586,364437,
%T A059182 643493,1144424,7294777,49484843,51161394,76008087,202870914,
%U A059182 391981014,11731070977,79069971960,415100034571,1212266245583
%N A059182 Engel expansion of ln(10) = 2.30259...
%C A059182 Cf. A006784 for definition of Engel expansion
%D A059182 F. Engel, Entwicklung der Zahlen nach Stammbruechen, Verhandlungen der 
               52. Versammlung deutscher Philologen und Schulmaenner in Marburg, 
               1913, pp. 190-191.
%D A059182 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 A059182 <a href="Sindx_El.html#Engel">Index entries for sequences related to 
               Engel expansions</a>
%t A059182 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 A059182 Sequence in context: A047175 A133632 A163141 this_sequence A027958 A064670 
               A119283
%Y A059182 Adjacent sequences: A059179 A059180 A059181 this_sequence A059183 A059184 
               A059185
%K A059182 nonn,easy,nice
%O A059182 1,3
%A A059182 Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu)

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