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Search: id:A059184
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| A059184 |
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Engel expansion of 1/ln(10) = 0.434294. |
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+0
1
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| 3, 4, 5, 18, 27, 37, 415, 445, 1812, 2475, 3928, 6707, 14673, 65863, 89033, 265841, 1293955, 1525697, 2541166, 7906280, 107955268, 154190828, 887303031, 1767107652, 3068165143, 3209500563, 92762706640, 147991352023
(list; graph; listen)
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OFFSET
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1,1
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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: A048040 A051033 A031199 this_sequence A161961 A161474 A084930
Adjacent sequences: A059181 A059182 A059183 this_sequence A059185 A059186 A059187
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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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