login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A244977
Decimal expansion of Pi/(12*sqrt(3)).
6
1, 5, 1, 1, 4, 9, 9, 4, 7, 0, 1, 9, 5, 1, 8, 1, 5, 4, 2, 1, 6, 1, 7, 3, 1, 8, 8, 1, 3, 6, 8, 4, 6, 3, 1, 1, 0, 2, 3, 6, 7, 2, 1, 8, 7, 3, 4, 1, 0, 6, 1, 7, 1, 4, 6, 3, 0, 8, 2, 3, 7, 4, 4, 6, 1, 5, 6, 7, 6, 9, 3, 1, 7, 6, 0, 5, 2, 9, 4, 9, 0, 3, 0, 7, 0, 1, 0, 4, 1, 5, 6, 8, 4, 3, 3, 8, 3, 4, 7, 4, 0, 4, 6, 8, 5
OFFSET
0,2
REFERENCES
George Boros and Victor H. Moll, Irresistible integrals, Cambridge University Press (2006), Chapter 13 A Master Formula, p. 250.
LINKS
Eric Weisstein's World of Mathematics, Beta Function.
FORMULA
Equals Integral_{x=0..1} (x^2*(1 + x^2))/(1 + x^2 + x^4)^2 dx.
Equals beta(3/2, 1/2)/(6*sqrt(3)), where 'beta' is Euler's beta function.
Equals Integral_{x>=0} 1/(x^2 + 3)^2 dx. - Amiram Eldar, Nov 16 2021
EXAMPLE
0.15114994701951815421617318813684631102367218734106171463082374461567693176...
MATHEMATICA
RealDigits[Pi/(12*Sqrt[3]), 10, 105] // First
PROG
(PARI) Pi/sqrt(432) \\ Charles R Greathouse IV, Sep 28 2022
CROSSREFS
Cf. A244976.
Sequence in context: A196612 A110635 A179773 * A071170 A332762 A108691
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved