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%I #61 Sep 08 2022 08:46:04
%S 5,7,7,3,5,0,4,9,7,2,5,8,4,8,5,4,5,8,5,5,0,1,1,4,8,9,2,3,7,6,8,7,0,6,
%T 1,3,9,2,3,1,2,7,6,3,0,4,2,7,2,7,5,8,0,1,6,0,9,7,0,3,3,9,6,8,1,4,5,0,
%U 3,8,3,9,4,8,3,7,8,8,2,5,4,4,0,4,0,2,1,9,9,6,0,6,4,3,1,3,2,2,8,7,9,6
%N Decimal expansion of Pi/(4*e) + e/(3*Pi).
%C Approximates Euler Mascheroni constant giving 3 correct decimal places.
%C The constant is not known to be transcendental, or even irrational. - _Balarka Sen_, May 06 2013
%H <a href="/A225155/b225155.txt">Table of n, a(n) for n = 0..1000</a>
%e 0.5773504972584854585501148923768706139231...
%t RealDigits[(3*Pi^2 + 4*E^2)/(12*E*Pi), 10, 100][[1]] (* _G. C. Greubel_, Aug 30 2018 *)
%o (PARI) default(realprecision, 1020); x=10*Pi/exp(1)/4+10*exp(1)/Pi/3; d=0; for (n=0, 1000, d=floor(x); x=(x-d)*10; print1(d", ")) \\
%o (Magma) R:= RealField(100); (3*Pi(R)^2 + 4*Exp(2))/(12*Pi(R)*Exp(1)); // _G. C. Greubel_, Aug 30 2018
%Y Cf. A000796, A001113, A061360, A086056, A001620, A225572 (continued fraction).
%K nonn,cons,easy
%O 0,1
%A _Jimmy Zotos_, May 01 2013
%E More terms from _Balarka Sen_, May 02 2013
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