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Search: id:A053980
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| A053980 |
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Engel expansion of zeta(3) = 1.20206. |
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+0
1
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| 1, 5, 98, 127, 923, 5474, 16490, 25355, 37910, 85150, 1033216, 2290644, 7844861, 11170684, 18884358, 21481832, 35060787, 52399788, 201059261, 261533994, 9939708446, 211698940106, 3030068839686, 4326424644987, 6082687570463
(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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Cf. A006784, A028254, A028257.
Sequence in context: A102734 A117341 A062538 this_sequence A088995 A093749 A128784
Adjacent sequences: A053977 A053978 A053979 this_sequence A053981 A053982 A053983
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KEYWORD
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nonn,easy,nice
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AUTHOR
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Jeppe Stig Nielsen (sequence(AT)jeppesn.dk), Apr 02 2000
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EXTENSIONS
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More terms and additional comments from Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu), Jan 15, 2001.
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