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Decimal expansion of exp(1 + 1/2 + 1/3).
1

%I #11 Mar 28 2022 08:14:50

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

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

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

%N Decimal expansion of exp(1 + 1/2 + 1/3).

%C Exp(1), exp(1+1/2), exp(1+1/2+1/3), ... appear to be related to derangements with minimal cycle sizes.

%H G. C. Greubel, <a href="/A124457/b124457.txt">Table of n, a(n) for n = 1..5000</a>

%e exp(1 + 1/2 + 1/3) = 6.25470095...

%t RealDigits[Exp[1+1/2+1/3],10,120][[1]] (* _Harvey P. Dale_, Oct 08 2012 *)

%o (Magma) SetDefaultRealField(RealField(120)); Exp(1+1/2+1/3); // _G. C. Greubel_, Mar 27 2022

%o (Sage) numerical_approx(exp(1+1/2+1/3), digits=110) # _G. C. Greubel_, Mar 27 2022

%Y Cf. A000166, A001113, A067736.

%K cons,easy,nonn

%O 1,1

%A _Alford Arnold_, Nov 03 2006

%E More terms from _Franklin T. Adams-Watters_, Nov 19 2006