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A280103 Engel expansion of 1/e in the base Pi. 1
9, 59, 258, 1621, 41718, 163096, 18032586, 372522402, 4134015746, 32288273026, 351014976193, 4870192684354, 16888414224772, 69504582263701, 605288885084501, 142251062156316087, 465610991052284457, 1483900314571047497, 5622121203907195494, 23213137436116662167 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..250

Eric Weisstein's World of Mathematics, Pierce Expansion

Wikipedia, Engel Expansion

MATHEMATICA

EngelExp[A_, n_] := Join[Array[Pi &, Floor[A]], First@Transpose@

NestList[{Ceiling[Pi/Expand[#[[1]] #[[2]] - 1]], Expand[#[[1]] #[[2]] - 1]/Pi} &, {Ceiling[Pi/(A - Floor[A])], (A - Floor[A])/Pi}, n - 1]]; EngelExp[N[1/E, 7!], 20]

CROSSREFS

Cf. A232325, A280102.

Sequence in context: A276450 A276648 A308353 * A174654 A027249 A026717

Adjacent sequences:  A280100 A280101 A280102 * A280104 A280105 A280106

KEYWORD

nonn

AUTHOR

G. C. Greubel, Dec 25 2016

STATUS

approved

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Last modified October 17 12:25 EDT 2019. Contains 328112 sequences. (Running on oeis4.)