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Search: id:A161368
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| A161368 |
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Engel expansion of sqrt(7). |
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+0
1
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| 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; listen)
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OFFSET
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1,3
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LINKS
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Index to sequences related to Engel expansions
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EXAMPLE
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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)+....
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MATHEMATICA
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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]
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CROSSREFS
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Cf. A010465, A059176.
Sequence in context: A126786 A154614 A161211 this_sequence A023978 A152488 A109359
Adjacent sequences: A161365 A161366 A161367 this_sequence A161369 A161370 A161371
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KEYWORD
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nonn
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 08 2009
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EXTENSIONS
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Added example and link to index - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 23 2009
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