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A003077 Decimal expansion of 22/7 - Pi. 5
0, 0, 1, 2, 6, 4, 4, 8, 9, 2, 6, 7, 3, 4, 9, 6, 1, 8, 6, 8, 0, 2, 1, 3, 7, 5, 9, 5, 7, 7, 6, 3, 9, 9, 7, 2, 9, 4, 5, 6, 8, 7, 7, 4, 3, 4, 8, 2, 0, 3, 7, 0, 3, 6, 1, 6, 7, 9, 1, 2, 5, 5, 0, 5, 4, 9, 3, 2, 6, 4, 5, 0, 8, 5, 6, 6, 4, 8, 1, 4, 4, 2, 2, 9, 1, 0, 8, 0, 3, 1, 8, 0, 0, 7, 4, 0, 0, 7, 4, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,4
REFERENCES
Alf van der Poorten, Notes on Fermat's Last Theorem, Wiley, 1996, p. 15.
LINKS
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
Sequence in context: A276680 A053794 A249913 * A323482 A057143 A087428
KEYWORD
cons,nonn
AUTHOR
STATUS
approved

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Last modified July 21 21:50 EDT 2024. Contains 374475 sequences. (Running on oeis4.)