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 A161368 Engel expansion of sqrt(7). 0
 1, 1, 2, 4, 7, 7, 8, 14, 16, 21, 36, 40, 41, 354, 407, 568, 2253, 2392, 6783, 8608, 10968, 23813, 149663, 1353193, 2273258, 11992211, 18888350, 35589752, 279408946, 926928928, 7122445646, 12200380022, 24793374441, 1006675801235 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS EXAMPLE 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)+.... MATHEMATICA 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] CROSSREFS Cf. A010465, A059176. Sequence in context: A154614 A161211 A276807 * A023978 A152488 A109359 Adjacent sequences:  A161365 A161366 A161367 * A161369 A161370 A161371 KEYWORD nonn AUTHOR Vladimir Joseph Stephan Orlovsky, Jun 08 2009 EXTENSIONS Added example and link to index - R. J. Mathar, Sep 23 2009 STATUS approved

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