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Search: id:A059178
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| A059178 |
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Engel expansion of 2^(1/3) = 1.25992. |
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+0
1
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| 1, 4, 26, 32, 58, 1361, 4767, 22303, 134563, 188609, 282816, 979804, 1272032, 1330628, 3719474, 5039143, 12531368, 435451235, 5391276884, 6140156718, 24140682996, 30267765913, 56443830660, 176797839116, 645251112512
(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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Sequence in context: A086909 A046963 A022386 this_sequence A056193 A102203 A099442
Adjacent sequences: A059175 A059176 A059177 this_sequence A059179 A059180 A059181
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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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