Search: id:A059181
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%I A059181
%S A059181 1,11,12,60,108,139,176,1228,1356,3166,14807,81596,116387,1367315,
%T A059181 4408018,11560054,15330821,448349063,574897948,613663772,636869505,
%U A059181 999446566,3786082000,6911150147,19780703830,25945009665
%N A059181 Engel expansion of ln(3) = 1.09861.
%C A059181 Cf. A006784 for definition of Engel expansion
%D A059181 F. Engel, Entwicklung der Zahlen nach Stammbruechen, Verhandlungen der 
               52. Versammlung deutscher Philologen und Schulmaenner in Marburg, 
               1913, pp. 190-191.
%D A059181 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 A059181 <a href="Sindx_El.html#Engel">Index entries for sequences related to 
               Engel expansions</a>
%t A059181 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 A059181 Sequence in context: A041250 A041254 A041256 this_sequence A041258 A082262 
               A153070
%Y A059181 Adjacent sequences: A059178 A059179 A059180 this_sequence A059182 A059183 
               A059184
%K A059181 nonn,easy,nice
%O A059181 1,2
%A A059181 Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu)

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