A003077 Decimal expansion of 22/7 - Pi.

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

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

MathOverflow, Source and context of 22/7-Pi = Integral_{0..1} (x-x^2)^4/(1+x^2) dx ?

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

Index entries for transcendental numbers

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

Cf. A000796, A068028.

Sequence in context: A276680 A053794 A249913 * A323482 A057143 A087428

Adjacent sequences: A003074 A003075 A003076 * A003078 A003079 A003080

Keyword

cons,nonn

Author

N. J. A. Sloane

Status

approved