OFFSET
0,4
REFERENCES
Alf van der Poorten, Notes on Fermat's Last Theorem, Wiley, 1996, p. 15.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..10000
Paul J. Nahin, Inside interesting integrals, Undergrad. Lecture Notes in Physics, Springer (2020), (1.7.1)
Anthony Sofo, Euler related binomial sums, Indian J. Pure Appl. Math. 50 (1) (2019) 149-160
Eric Weisstein's MathWorld, Pi
Wikipedia, Pi
FORMULA
22/7 - Pi = Integral_{x=0..1} x^4*(1-x)^4/(1+x^2). - M. F. Hasler, Oct 24 2011
Equals 60*Sum_{n>=1} 1/[(4*n^2-1)*(16*n^2-1)*(16*n^2-9)] . [Sofo] - R. J. Mathar, Jun 21 2024
EXAMPLE
0.001264489267349618680213759577639972945687743482037036167912550549326450856...
MATHEMATICA
Join[{0, 0}, RealDigits[22/7-Pi, 10, 98][[1]]] (* Jean-François Alcover, May 24 2013 *)
PROG
(PARI) 22/7-Pi \\ Charles R Greathouse IV, Sep 30 2022
(Magma) m:=152; [0, 0] cat Reverse(Intseq(Floor(10^m*(22/7 - Pi(RealField(m+5)))))); // G. C. Greubel, Nov 03 2022
(SageMath) (22/7 - pi).n(digits=150).nextbelow() # G. C. Greubel, Nov 03 2022
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
STATUS
approved