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Search: id:A161618
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| A161618 |
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Engel expansion of Pi^Pi. |
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+0
1
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| 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 7, 9, 23, 43, 128, 1847, 10674, 256943, 951850, 1361782, 1407741, 2143780, 3702054, 13341664, 17967518, 101541311, 159133300, 246184506, 3508330471
(list; graph; listen)
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OFFSET
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1,37
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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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A073233 = 36.462... = 1/1 +1/1 +1/1 +... +1/(1*3) +1/(1*3*3) +1/(1*3*3*7) +1/(1*3*3*7*9) +...
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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[Pi^Pi, 7! ], 50]
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CROSSREFS
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Sequence in context: A056295 A117525 A075149 this_sequence A157933 A013915 A136445
Adjacent sequences: A161615 A161616 A161617 this_sequence A161619 A161620 A161621
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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 14 2009
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EXTENSIONS
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Example added by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 02 2009
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