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

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, 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, 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

Offset: 0

Author

Jean-François Alcover, Jul 09 2014

Keywords

• nonn
• cons
• easy

Examples

			0.15114994701951815421617318813684631102367218734106171463082374461567693176...
		

References

• George Boros and Victor H. Moll, Irresistible integrals, Cambridge University Press (2006), Chapter 13 A Master Formula, p. 250.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..10000
• Eric Weisstein's World of Mathematics, Beta Function.
• Index entries for transcendental numbers

Crossrefs

Cf. A244976.

Programs

Mathematica

RealDigits[Pi/(12*Sqrt[3]), 10, 105] // First

PARI

Pi/sqrt(432) \\ Charles R Greathouse IV, Sep 28 2022

Formula

Equals Integral_{x=0..1} (x^2*(1 + x^2))/(1 + x^2 + x^4)^2 dx.

Equals beta(3/2, 1/2)/(6*sqrt(3)), where 'beta' is Euler's beta function.

Equals Integral_{x>=0} 1/(x^2 + 3)^2 dx. - Amiram Eldar, Nov 16 2021