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 A059179 Engel expansion of 3^(1/3) = 1.44225. 1
 1, 3, 4, 4, 5, 8, 9, 14, 63, 91, 132, 605, 753, 993, 17297, 26120, 28227, 43466, 123132, 3551445, 7243732, 13958201, 41249856, 194184556, 3261328035, 13339681270, 18470226192, 23831447862, 25356135862 (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 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. ErdÅ‘s 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. 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[3^(1/3), 7!], 100] (* Modified by G. C. Greubel, Dec 27 2016 *) CROSSREFS Sequence in context: A111914 A051665 A028263 * A279678 A222283 A182487 Adjacent sequences:  A059176 A059177 A059178 * A059180 A059181 A059182 KEYWORD nonn,easy,nice AUTHOR STATUS approved

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Last modified May 30 15:37 EDT 2020. Contains 334726 sequences. (Running on oeis4.)