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Search: id:A059187
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| A059187 |
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Engel expansion of sqrt(Pi) = 1.77245. |
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+0
1
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| 1, 2, 2, 12, 13, 90, 121, 3457, 7372, 42530, 147081, 348753, 1185480, 17262610, 28408922, 87175278, 120293961, 344697955, 634418862, 3889219736, 8965899278, 9695659687, 18962955420, 27004920068, 67070581522
(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: A055772 A025527 A092144 this_sequence A054916 A140431 A092900
Adjacent sequences: A059184 A059185 A059186 this_sequence A059188 A059189 A059190
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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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