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 A059178 Engel expansion of 2^(1/3) = 1.25992. 1
 1, 4, 26, 32, 58, 1361, 4767, 22303, 134563, 188609, 282816, 979804, 1272032, 1330628, 3719474, 5039143, 12531368, 435451235, 5391276884, 6140156718, 24140682996, 30267765913, 56443830660, 176797839116, 645251112512 (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[2^(1/3), 7!], 10] (* modified by G. C. Greubel, Dec 26 2016 *) CROSSREFS Cf. A002580. Sequence in context: A086909 A046963 A022386 * A056193 A196672 A306611 Adjacent sequences:  A059175 A059176 A059177 * A059179 A059180 A059181 KEYWORD nonn,easy,nice AUTHOR STATUS approved

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Last modified October 17 21:32 EDT 2019. Contains 328133 sequences. (Running on oeis4.)