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A096194
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Engel expansion of exp(e).
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0
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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
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OFFSET
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1,16
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LINKS
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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]} &, {Ceiling[ 1/(A - Floor[A]) ], A - Floor[A]}, n - 1 ]]; EngelExp[ N[E^E, 2^8], 26] (* Robert G. Wilson v, Jul 28 2008 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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