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Search: id:A059189
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| A059189 |
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Engel expansion of Gamma(2/3) = 1.35412. |
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+0
1
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| 1, 3, 17, 17, 50, 79, 796, 3687, 7074, 9098, 95915, 118514, 133188, 186305, 209314, 666015, 5735240, 7685979, 11174747, 97173279, 269061009, 569125952, 932655002, 7282946876, 9919537325, 52110120678, 70254144261
(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: A087964 A120448 A095422 this_sequence A043066 A101144 A038886
Adjacent sequences: A059186 A059187 A059188 this_sequence A059190 A059191 A059192
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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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