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A059179
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Engel expansion of 3^(1/3) = 1.44225.
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0
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1, 3, 4, 4, 5, 8, 9, 14, 63, 91, 132, 605, 753, 993, 17297, 26120, 28227, 43466, 123132, 3551445, 7243732, 13958201, 41249856, 194184556, 3261328035, 13339681270, 18470226192, 23831447862, 25356135862
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Cf. A006784 for definition of Engel expansion
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REFERENCES
| 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
| Index entries for sequences related to Engel expansions
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MATHEMATICA
| 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
| Sequence in context: A111914 A051665 A028263 * A061117 A111234 A014683
Adjacent sequences: A059176 A059177 A059178 * A059180 A059181 A059182
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KEYWORD
| nonn,easy,nice
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AUTHOR
| Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu)
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