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Search: id:A059177
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| A059177 |
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Engel expansion of sqrt(10) = 3.16228. |
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+0
1
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| 1, 1, 1, 7, 8, 12, 20, 86, 94, 118, 160, 179, 287, 315, 22588, 49419, 66011, 80779, 651661, 1078390, 1093865, 4254100, 27153191, 108815387, 220864645, 798937058, 992296124, 2196903274, 17524412379, 22828187385
(list; graph; listen)
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OFFSET
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1,4
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COMMENT
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Cf. A006784 for definition of Engel expansion
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REFERENCES
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F. Engel, Entwicklung der Zahlen nach Stammbruechen, Verhandlungen der 52. Versammlung deutscher Philologen und Schulmaenner in Marburg, 1913, pp. 190-191.
P. Erdos and J. O. Shallit, New bounds on the length of finite Pierce and Engel series, Sem. Theor. Nombres Bordeaux (2) 3 (1991), no.1, 43-53.
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LINKS
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Index entries for sequences related to Engel expansions
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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 ]]
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CROSSREFS
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Sequence in context: A057484 A050901 A105832 this_sequence A065729 A156605 A061905
Adjacent sequences: A059174 A059175 A059176 this_sequence A059178 A059179 A059180
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KEYWORD
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nonn,easy,nice
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AUTHOR
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Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu)
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