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%I #22 Oct 02 2022 23:11:10
%S 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,
%T 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,
%U 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
%N Decimal expansion of e^6.
%C Curiously, e^6 = 403.428793... is very close to Pi^4 + Pi^5 = 403.428775... - _Jean-François Alcover_, Jul 04 2013
%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F From _Peter Bala_, Jan 12 2022: (Start)
%F e^6 = 115 + (1/4)*Sum_{n >= 0} 6^(n+6)/((n+6)^2*(n+7)^2*n!).
%F 115/e^6 = 1 - 5*Sum_{n >= 0} (-6)^(n+5)*n^2/(n+6)!. (End)
%e 403.428793492735122...
%t RealDigits[E^6, 10, 108][[1]] (* _Alonso del Arte_, Oct 05 2014 *)
%o (PARI) exp(6) \\ _Charles R Greathouse IV_, Oct 02 2022
%Y Cf. A001113, A072334, A091933, A092426, A092511, A092513.
%K cons,nonn
%O 3,1
%A _Mohammad K. Azarian_, Apr 05 2004
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