login
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
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] (* Robert G. Wilson v, Jul 28 2008 *)
CROSSREFS
Cf. A073226.
Sequence in context: A147258 A146718 A146646 * A160889 A360357 A283650
KEYWORD
nonn
AUTHOR
Gerald McGarvey, Jul 25 2004
EXTENSIONS
Edited and extended by Robert G. Wilson v, Jul 28 2004
STATUS
approved