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A059184
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Engel expansion of 1/log(10) = 0.434294....
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1
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3, 4, 5, 18, 27, 37, 415, 445, 1812, 2475, 3928, 6707, 14673, 65863, 89033, 265841, 1293955, 1525697, 2541166, 7906280, 107955268, 154190828, 887303031, 1767107652, 3068165143, 3209500563, 92762706640, 147991352023
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OFFSET
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1,1
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COMMENTS
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Cf. A006784 for definition of Engel expansion.
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REFERENCES
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F. Engel, Entwicklung der Zahlen nach Stammbruechen, Verhandlungen der 52. Versammlung deutscher Philologen und Schulmaenner in Marburg, 1913, pp. 190-191.
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LINKS
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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.
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MATHEMATICA
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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[1/Log[10], 7!], 100] (* Modified by G. C. Greubel, Dec 27 2016 *)
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CROSSREFS
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KEYWORD
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nonn,easy,nice
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AUTHOR
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STATUS
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approved
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