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A096194 Engel expansion of exp(e). 0
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 13, 27, 45, 212, 388, 735, 3422, 3913, 11095, 18232, 20624, 54745, 426826, 617936, 3424833, 3494454, 3664162, 5238283, 5650352, 17373150, 168850488, 716822623, 729646247, 1226034011, 3976121167 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,16

LINKS

Table of n, a(n) for n=1..41.

MATHEMATICA

EngelExp[ A_, n_ ] := Join[ Array[ 1 &, Floor[ A ]], First@Transpose @ NestList[ {Ceiling[ 1/Expand[ #[[ 1 ]] #[[ 2 ]] - 1 ]], Expand[ #[[ 1 ]] #[[ 2 ]] - 1]} &, {Ceiling[ 1/(A - Floor[A]) ], A - Floor[A]}, n - 1 ]]; EngelExp[ N[E^E, 2^8], 26] (* Robert G. Wilson v, Jul 28 2008 *)

CROSSREFS

Cf. A073226.

Sequence in context: A147258 A146718 A146646 * A160889 A283650 A045463

Adjacent sequences:  A096191 A096192 A096193 * A096195 A096196 A096197

KEYWORD

nonn

AUTHOR

Gerald McGarvey, Jul 25 2004

EXTENSIONS

Edited and extended by Robert G. Wilson v, Jul 28 2004

STATUS

approved

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Last modified September 29 22:48 EDT 2022. Contains 357092 sequences. (Running on oeis4.)