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A244976 Decimal expansion of Pi/(8*sqrt(2)). 9
2, 7, 7, 6, 8, 0, 1, 8, 3, 6, 3, 4, 8, 9, 7, 8, 9, 0, 4, 3, 8, 4, 9, 2, 5, 6, 1, 8, 7, 8, 7, 9, 3, 3, 5, 6, 1, 6, 3, 4, 1, 3, 8, 5, 5, 5, 8, 5, 9, 8, 0, 6, 3, 8, 9, 4, 2, 8, 3, 7, 2, 2, 5, 4, 3, 4, 7, 7, 7, 1, 7, 4, 5, 6, 8, 7, 1, 7, 1, 1, 9, 4, 1, 0, 9, 5, 7, 9, 3, 3, 4, 2, 2, 7, 9, 7, 8, 2, 7, 3, 3, 5, 2, 1, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

George Boros and Victor H. Moll, Irresistible integrals, Cambridge University Press (2006), Chapter 13 A Master Formula, p. 250.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Eric Weisstein's MathWorld, Beta Function

FORMULA

Equals integral_(0..1) (x^2*(1 + x^2))/(1 + x^4)^2 dx.

Also equals beta(3/2, 1/2)/(4*sqrt(2)), where 'beta' is Euler's beta function.

Pi/(8*sqrt(2)) = Sum_{k >= 0} (-1)^k * (2*k + 1)/((4*k + 1)*(4*k + 3)). - Peter Bala, Sep 21 2016

EXAMPLE

0.277680183634897890438492561878793356163413855585980638942837225434777...

MATHEMATICA

RealDigits[Pi/(8*Sqrt[2]), 10, 105] // First

PROG

(PARI) Pi/(8*sqrt(2)) \\ G. C. Greubel, Jul 05 2017

CROSSREFS

Cf. A063448, A247719, A093954, A193887.

Sequence in context: A189960 A230160 A063503 * A248675 A068386 A021040

Adjacent sequences:  A244973 A244974 A244975 * A244977 A244978 A244979

KEYWORD

nonn,cons,easy

AUTHOR

Jean-Fran├žois Alcover, Jul 09 2014

STATUS

approved

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Last modified July 4 16:24 EDT 2020. Contains 335448 sequences. (Running on oeis4.)