This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A161368 #5 Mar 31 2012 12:38:24 %S A161368 1,1,2,4,7,7,8,14,16,21,36,40,41,354,407,568,2253,2392,6783,8608, %T A161368 10968,23813,149663,1353193,2273258,11992211,18888350,35589752, %U A161368 279408946,926928928,7122445646,12200380022,24793374441,1006675801235 %N A161368 Engel expansion of sqrt(7). %H A161368 <a href="/index/El#Engel">Index to sequences related to Engel expansions</a> %e A161368 2.645751311... = 1/1+1/(1*1)+1/(1*1*2)+1/(1*1*2*4)+1/(1*1*2*4*7)+1/(1*1*2*4*7*7)+.... %t A161368 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]]; EngelExp[N[7^(1/2),7! ],50] %Y A161368 Cf. A010465, A059176. %K A161368 nonn %O A161368 1,3 %A A161368 _Vladimir Joseph Stephan Orlovsky_, Jun 08 2009 %E A161368 Added example and link to index - _R. J. Mathar_, Sep 23 2009