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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, 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; listen)
OFFSET

1,16

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] (from Robert G. Wilson v Jul 28 2008)

CROSSREFS

Sequence in context: A147258 A146718 A146646 this_sequence A045463 A082221 A096333

Adjacent sequences: A096191 A096192 A096193 this_sequence A096195 A096196 A096197

KEYWORD

nonn

AUTHOR

Gerald McGarvey (Gerald.McGarvey(AT)comcast.net), Jul 25 2004

EXTENSIONS

Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 28 2004

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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