A132702 Decimal expansion of 12/Pi.

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

Offset

1,1

Comments

From Bernard Schott, Apr 17 2022: (Start)

For any triangle ABC, (see Crux Mathematicorum):

(b+c)/A + (c+a)/B + (a+b)/C >= (12/Pi) * s,

b*c/(A*(s-a)) + c*a/(B*(s-b)) + a*b/(C*(s-c)) >= (12/Pi) * s,

where (A,B,C) are the angles (measured in radians), (a,b,c) the side lengths of this triangle and s the semiperimeter.

Equality stands iff triangle ABC is equilateral. (End)

The mean perimeter of a spherical triangle formed by 3 points independently and uniformly selected at random on the unit hemisphere (Santaló, 2004). - Amiram Eldar, Apr 02 2026

References

Luis A. Santaló, Integral Geometry and Geometric Probability, 2nd ed., Cambridge University Press, 2004, p. 313, note 8.

Links

Table of n, a(n) for n=1..105.

S. Arslanagić and D. M. Milošević, Problem 1827, Crux Mathematicorum, Vol. 22, No. 1 (1996), p. 36.

Index entries for transcendental numbers.

Formula

Equals 2*A132696 = 4*A089491 = 6*A060294. - R. J. Mathar, Jul 29 2024

Example

3.81971863420548805845321032094034468882703149777095...

Maple

Digits:=100; evalf(12/Pi); # Wesley Ivan Hurt, Mar 26 2014

Mathematica

RealDigits[N[12/Pi, 6! ]][[1]] (* Vladimir Joseph Stephan Orlovsky, Jun 19 2009 *)

Prog

(PARI) 12/Pi \\ Charles R Greathouse IV, Dec 31 2011

Crossrefs

Cf. A049541, A060294, A089491, A088538, A086201, A132696.

Sequence in context: A382688 A094874 A132338 * A197725 A288875 A152230

Adjacent sequences: A132699 A132700 A132701 * A132703 A132704 A132705

Keyword

cons,nonn

Author

Omar E. Pol, Aug 26 2007

Extensions

More terms from Vladimir Joseph Stephan Orlovsky, Jun 19 2009

Status

approved