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A059189 Engel expansion of Gamma(2/3) = 1.35412. 0
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; refs; listen; history; text; internal format)
OFFSET

1,2

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

Table of n, a(n) for n=1..27.

P. Erdős and Jeffrey Shallit, New bounds on the length of finite Pierce and Engel series, Sem. Theor. Nombres Bordeaux (2) 3 (1991), no. 1, 43-53.

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.

Index entries for sequences related to Engel expansions

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

Cf. A073006.

Sequence in context: A120448 A095422 A195999 * A043066 A293764 A295395

Adjacent sequences:  A059186 A059187 A059188 * A059190 A059191 A059192

KEYWORD

nonn,easy,nice

AUTHOR

Mitch Harris

STATUS

approved

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Last modified January 15 20:47 EST 2019. Contains 319184 sequences. (Running on oeis4.)