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%I #24 Feb 20 2024 02:33:25
%S 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,
%T 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,
%U 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
%N Decimal expansion of 16/Pi.
%D Bruce C. Berndt, Ramanujan’s Notebooks, Part II, Springer-Verlag, New York, 1989.
%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F Equals 4 + Sum_{k>=0} binomial(2*k,k)^2/((k+1)^2*16^k). - _Amiram Eldar_, May 21 2021
%F 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
%e 5.092958178940650744604280427920459585102708663694606359925355....
%t RealDigits[N[16/Pi,6! ]] (* _Vladimir Joseph Stephan Orlovsky_, Dec 02 2009 *)
%o (PARI) 16/Pi \\ _Charles R Greathouse IV_, Oct 01 2022
%Y Cf. A019683, A049541, A060294, A089491, A088538, A086201, A132696 to A132699, A132701, A132702.
%K cons,easy,nonn
%O 1,1
%A _Omar E. Pol_, Aug 31 2007
%E More terms from _Vladimir Joseph Stephan Orlovsky_, Dec 02 2009