Search: id:A059177
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%I A059177
%S A059177 1,1,1,7,8,12,20,86,94,118,160,179,287,315,22588,49419,66011,80779,
%T A059177 651661,1078390,1093865,4254100,27153191,108815387,220864645,
%U A059177 798937058,992296124,2196903274,17524412379,22828187385
%N A059177 Engel expansion of sqrt(10) = 3.16228.
%C A059177 Cf. A006784 for definition of Engel expansion
%D A059177 F. Engel, Entwicklung der Zahlen nach Stammbruechen, Verhandlungen der 
               52. Versammlung deutscher Philologen und Schulmaenner in Marburg, 
               1913, pp. 190-191.
%D A059177 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 A059177 <a href="Sindx_El.html#Engel">Index entries for sequences related to 
               Engel expansions</a>
%t A059177 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 A059177 Sequence in context: A057484 A050901 A105832 this_sequence A065729 A156605 
               A061905
%Y A059177 Adjacent sequences: A059174 A059175 A059176 this_sequence A059178 A059179 
               A059180
%K A059177 nonn,easy,nice
%O A059177 1,4
%A A059177 Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu)

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