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Search: id:A059183
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| A059183 |
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Engel expansion of 1/ln(2) = 1.4427. |
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+0
1
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| 1, 3, 4, 4, 5, 5, 5, 6, 47, 109, 935, 4763, 7821, 8895, 9889, 35798, 44347, 1146551, 7874944, 8043393, 27403243, 34058912, 58098040, 68760470, 80046897, 560099631, 611427977, 14235032003, 602865059026, 813485869378
(list; graph; listen)
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OFFSET
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1,2
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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: A059180 A059181 A059182 this_sequence A059184 A059185 A059186
Sequence in context: A053405 A082090 A133196 this_sequence A054760 A079107 A023963
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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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