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Decimal expansion of e^5.
8

%I #17 Oct 02 2022 23:10:54

%S 1,4,8,4,1,3,1,5,9,1,0,2,5,7,6,6,0,3,4,2,1,1,1,5,5,8,0,0,4,0,5,5,2,2,

%T 7,9,6,2,3,4,8,7,6,6,7,5,9,3,8,7,8,9,8,9,0,4,6,7,5,2,8,4,5,1,1,0,9,1,

%U 2,0,6,4,8,2,0,9,5,8,5,7,6,0,7,9,6,8,8,4,0,9,4,5,9,8,9,9,0,2,1,1,4,1,2,9,2

%N Decimal expansion of e^5.

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%F From _Peter Bala_, Jan 12 2022: (Start)

%F e^5 = 456 - Sum_{n >= 0} 5^(n+6)/((n+5)^2*(n+6)^2*n!).

%F 456/e^5 = 1 - 4!*Sum_{n >=0} (-5)^(n+4)*n^2/(n+5)!. (End)

%e 148.413159102

%t RealDigits[E^5,10,120][[1]] (* _Harvey P. Dale_, May 31 2020 *)

%o (PARI) exp(5) \\ _Charles R Greathouse IV_, Oct 02 2022

%Y Cf. A001113, A072334, A091933, A092426, A092512, A092513.

%K cons,nonn

%O 3,2

%A _Mohammad K. Azarian_, Apr 05 2004