A132714 Decimal expansion of 24/Pi.

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

Offset

1,1

Links

G. C. Greubel, Table of n, a(n) for n = 1..5000

Index entries for transcendental numbers

Formula

24/Pi = Sum_{k>=0} ( (30*k+7)*C(2*k,k)^2*(Hypergeometric2F1[1/2 - k/2, -k/2, 1, 64])/(-256)^k ). - Alexander R. Povolotsky, Dec 20 2012

Another version of this identity is: Sum[(30*k+7) * Binomial[2k,k]^2 * (Sum[Binomial[k-m,m] * Binomial[k,m] * 16^m, {m,0,k/2}])/(256)^k, {k,0,infinity}]. - Alexander R. Povolotsky, Jan 25 2013

Example

=7.639437268410976116906420641880689377654062995541909539888032514827...

Mathematica

RealDigits[N[24/Pi, 6! ]] (* Vladimir Joseph Stephan Orlovsky, Dec 03 2009 *)

Prog

(PARI) 24/Pi \\ G. C. Greubel, Feb 20 2017

Crossrefs

Cf. A049541, A060294, A089491, A088538, A086201, A132696 to A132699, A132701, A132702.

Sequence in context: A335996 A187799 A288935 * A230327 A105419 A288242

Adjacent sequences: A132711 A132712 A132713 * A132715 A132716 A132717

Keyword

cons,easy,nonn

Author

Omar E. Pol, Aug 31 2007

Extensions

More terms from Vladimir Joseph Stephan Orlovsky, Dec 03 2009

Status

approved