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