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A059192 Engel expansion of log(1/gamma) (where gamma is the Euler-Mascheroni constant A001620) = 0.549539... 1
2, 11, 12, 13, 53, 348, 5263, 9960, 17040, 33193, 72960, 125350, 663179, 1096815, 3481893, 4802237, 7782503, 9659740, 279957736, 454935116, 460488754, 1710020367, 51367039980, 55286622194, 323648965384, 2061149370731 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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

G. C. Greubel, Table of n, a(n) for n = 1..1000

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.

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.

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]/1} &, {Ceiling[1/(A - Floor[A])], (A - Floor[A])/1}, n - 1]];

EngelExp[N[Log[1/EulerGamma], 7!], 100] (* Modified by G. C. Greubel, Dec 27 2016 *)

CROSSREFS

Cf. A002389.

Sequence in context: A108199 A137904 A175414 * A087339 A216213 A160948

Adjacent sequences:  A059189 A059190 A059191 * A059193 A059194 A059195

KEYWORD

nonn,easy,nice

AUTHOR

Mitch Harris

STATUS

approved

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Last modified January 22 05:11 EST 2019. Contains 319353 sequences. (Running on oeis4.)