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Search: id:A161559
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| A161559 |
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Engel expansion of tan(1/2). |
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+0
1
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| 2, 11, 54, 136, 1473, 3483, 36244, 41086, 305728, 379955, 582669, 4540387, 5020443, 22096761, 24228660, 48364856, 178868536, 234516235, 524137295, 1096104266, 11627672572, 19828856452, 31372689367, 47247829739, 701124643395
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OFFSET
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1,1
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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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A161011 = 0.546302.... = 1/2+1/(2*11)+1/(2*11*54)+1/(2*11*54*136)+ ...
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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[Tan[1/2], 6! ], 50]
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CROSSREFS
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Cf. A006784.
Sequence in context: A052171 A030281 A063767 this_sequence A128748 A037522 A037731
Adjacent sequences: A161556 A161557 A161558 this_sequence A161560 A161561 A161562
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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 13 2009
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EXTENSIONS
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Example added by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 04 2009
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