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Search: id:A059182
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| A059182 |
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Engel expansion of ln(10) = 2.30259... |
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+0
1
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| 1, 1, 4, 5, 20, 30, 48, 74, 265, 818, 897, 2027, 5107, 6846, 13049, 236586, 364437, 643493, 1144424, 7294777, 49484843, 51161394, 76008087, 202870914, 391981014, 11731070977, 79069971960, 415100034571, 1212266245583
(list; graph; listen)
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OFFSET
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1,3
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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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Adjacent sequences: A059179 A059180 A059181 this_sequence A059183 A059184 A059185
Sequence in context: A047175 A133632 A163141 this_sequence A027958 A064670 A119283
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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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