%I A059178
%S A059178 1,4,26,32,58,1361,4767,22303,134563,188609,282816,979804,1272032,
%T A059178 1330628,3719474,5039143,12531368,435451235,5391276884,6140156718,
%U A059178 24140682996,30267765913,56443830660,176797839116,645251112512
%N A059178 Engel expansion of 2^(1/3) = 1.25992.
%C A059178 Cf. A006784 for definition of Engel expansion
%D A059178 F. Engel, Entwicklung der Zahlen nach Stammbruechen, Verhandlungen der 
               52. Versammlung deutscher Philologen und Schulmaenner in Marburg, 
               1913, pp. 190-191.
%D A059178 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 A059178 <a href="Sindx_El.html#Engel">Index entries for sequences related to 
               Engel expansions</a>
%t A059178 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 A059178 Sequence in context: A086909 A046963 A022386 this_sequence A056193 A102203 
               A099442
%Y A059178 Adjacent sequences: A059175 A059176 A059177 this_sequence A059179 A059180 
               A059181
%K A059178 nonn,easy,nice
%O A059178 1,2
%A A059178 Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu)