cp's OEIS Frontend

A244977 Decimal expansion of Pi/(12*sqrt(3)).

%I A244977 #18 Feb 16 2025 08:33:23
%S A244977 1,5,1,1,4,9,9,4,7,0,1,9,5,1,8,1,5,4,2,1,6,1,7,3,1,8,8,1,3,6,8,4,6,3,
%T A244977 1,1,0,2,3,6,7,2,1,8,7,3,4,1,0,6,1,7,1,4,6,3,0,8,2,3,7,4,4,6,1,5,6,7,
%U A244977 6,9,3,1,7,6,0,5,2,9,4,9,0,3,0,7,0,1,0,4,1,5,6,8,4,3,3,8,3,4,7,4,0,4,6,8,5
%N A244977 Decimal expansion of Pi/(12*sqrt(3)).
%D A244977 George Boros and Victor H. Moll, Irresistible integrals, Cambridge University Press (2006), Chapter 13 A Master Formula, p. 250.
%H A244977 Vincenzo Librandi, <a href="/A244977/b244977.txt">Table of n, a(n) for n = 0..10000</a>
%H A244977 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/BetaFunction.html">Beta Function</a>.
%H A244977 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F A244977 Equals Integral_{x=0..1} (x^2*(1 + x^2))/(1 + x^2 + x^4)^2 dx.
%F A244977 Equals beta(3/2, 1/2)/(6*sqrt(3)), where 'beta' is Euler's beta function.
%F A244977 Equals Integral_{x>=0} 1/(x^2 + 3)^2 dx. - _Amiram Eldar_, Nov 16 2021
%e A244977 0.15114994701951815421617318813684631102367218734106171463082374461567693176...
%t A244977 RealDigits[Pi/(12*Sqrt[3]), 10, 105] // First
%o A244977 (PARI) Pi/sqrt(432) \\ _Charles R Greathouse IV_, Sep 28 2022
%Y A244977 Cf. A244976.
%K A244977 nonn,cons,easy
%O A244977 0,2
%A A244977 _Jean-François Alcover_, Jul 09 2014