|
|
A059188
|
|
Engel expansion of Gamma(1/3) = 2.6789385....
|
|
0
|
|
|
1, 1, 2, 3, 14, 33, 57, 236, 6280, 7170, 172302, 24568434, 32871132, 43231756, 60680523, 83128444, 720494727, 803406064, 1804216488, 6655647717, 9106036988, 14962799365, 37839117297, 121819278396, 262108609568
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,3
|
|
COMMENTS
|
Cf. A006784 for definition of Engel expansion.
|
|
REFERENCES
|
F. Engel, Entwicklung der Zahlen nach Stammbruechen, Verhandlungen der 52. Versammlung deutscher Philologen und Schulmaenner in Marburg, 1913, pp. 190-191.
|
|
LINKS
|
F. Engel, Entwicklung der Zahlen nach Stammbruechen, Verhandlungen der 52. Versammlung deutscher Philologen und Schulmaenner in Marburg, 1913, pp. 190-191. English translation by Georg Fischer, included with his permission.
|
|
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 ] ]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy,nice
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|