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A092512 Decimal expansion of e^6. 7

%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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Last modified March 28 10:55 EDT 2024. Contains 371241 sequences. (Running on oeis4.)