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A092512
Decimal expansion of e^6.
8
4, 0, 3, 4, 2, 8, 7, 9, 3, 4, 9, 2, 7, 3, 5, 1, 2, 2, 6, 0, 8, 3, 8, 7, 1, 8, 0, 5, 4, 3, 3, 8, 8, 2, 7, 9, 6, 0, 5, 8, 9, 9, 8, 9, 7, 3, 5, 7, 1, 2, 9, 2, 0, 2, 6, 1, 3, 9, 6, 7, 1, 8, 8, 3, 2, 5, 1, 5, 1, 1, 8, 0, 6, 3, 3, 9, 9, 3, 4, 9, 8, 3, 0, 5, 1, 7, 8, 8, 8, 6, 6, 5, 1, 2, 1, 2, 6, 6, 4, 7, 6, 8, 3, 7, 5
OFFSET
3,1
COMMENTS
Curiously, e^6 = 403.428793... is very close to Pi^4 + Pi^5 = 403.428775... - Jean-François Alcover, Jul 04 2013
FORMULA
From Peter Bala, Jan 12 2022: (Start)
e^6 = 115 + (1/4)*Sum_{n >= 0} 6^(n+6)/((n+6)^2*(n+7)^2*n!).
115/e^6 = 1 - 5*Sum_{n >= 0} (-6)^(n+5)*n^2/(n+6)!. (End)
EXAMPLE
403.428793492735122...
MATHEMATICA
RealDigits[E^6, 10, 108][[1]] (* Alonso del Arte, Oct 05 2014 *)
PROG
(PARI) exp(6) \\ Charles R Greathouse IV, Oct 02 2022
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Mohammad K. Azarian, Apr 05 2004
STATUS
approved