A132706 Decimal expansion of 16/Pi.

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

Offset

1,1

References

Bruce C. Berndt, Ramanujan’s Notebooks, Part II, Springer-Verlag, New York, 1989.

Links

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

Index entries for transcendental numbers

Formula

Equals 4 + Sum_{k>=0} binomial(2*k,k)^2/((k+1)^2*16^k). - Amiram Eldar, May 21 2021

16/Pi = 5 + 1^2/(10 + 3^2/(10 + 5^2/(10 + ...))). See Berndt, Entry 25, p. 140, with n = 0 and x = 5. - Peter Bala, Feb 18 2024

Example

5.092958178940650744604280427920459585102708663694606359925355....

Mathematica

RealDigits[N[16/Pi, 6! ]] (* Vladimir Joseph Stephan Orlovsky, Dec 02 2009 *)

Prog

(PARI) 16/Pi \\ Charles R Greathouse IV, Oct 01 2022

Crossrefs

Cf. A019683, A049541, A060294, A089491, A088538, A086201, A132696 to A132699, A132701, A132702.

Sequence in context: A372364 A266222 A266439 * A199184 A159692 A271175

Adjacent sequences: A132703 A132704 A132705 * A132707 A132708 A132709

Keyword

cons,easy,nonn

Author

Omar E. Pol, Aug 31 2007

Extensions

More terms from Vladimir Joseph Stephan Orlovsky, Dec 02 2009

Status

approved