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Search: id:A059200
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| A059200 |
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Engel expansion of -ln(ln(2)) = 0.366513. |
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+0
1
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| 3, 11, 11, 23, 62, 66, 466, 1450, 7617, 95677, 100963, 153329, 966054, 4744661, 23899231, 25086529, 52363821, 100389201, 201892089, 261170111, 312778184, 527002514, 1235004065, 1623652949, 2309078745, 8274570969
(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: A084409 A038229 A080351 this_sequence A072980 A128500 A043051
Adjacent sequences: A059197 A059198 A059199 this_sequence A059201 A059202 A059203
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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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