A019683 Decimal expansion of Pi/16.

1, 9, 6, 3, 4, 9, 5, 4, 0, 8, 4, 9, 3, 6, 2, 0, 7, 7, 4, 0, 3, 9, 1, 5, 2, 1, 1, 4, 5, 4, 9, 6, 8, 9, 3, 0, 2, 6, 2, 3, 2, 3, 0, 8, 7, 4, 6, 0, 9, 4, 4, 1, 1, 3, 8, 1, 0, 9, 3, 4, 0, 3, 7, 0, 1, 9, 2, 3, 8, 5, 2, 5, 3, 9, 2, 8, 8, 8, 0, 6, 2, 4, 1, 4, 2, 5, 2, 1, 7, 6, 5, 8, 3, 8, 8, 2, 3, 1, 6

Offset

0,2

References

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 8.4.2, p. 494.

Links

Ivan Panchenko, Table of n, a(n) for n = 0..1000

Index entries for transcendental numbers.

Formula

From Peter Bala, Oct 27 2019: (Start)

Equals Integral_{x = 0..1} x^2*sqrt(1 - x^2) dx = Integral_{x = 0..1} x^3*sqrt(1 - x^8) dx.

Equals Integral_{x = 0..inf} x^2/(1 + x^2)^3 dx. (End)

From Amiram Eldar, Aug 04 2020: (Start)

Equals Sum_{k>=1} sin(k)^3 * cos(k)/k.

Equals Sum_{k>=1} sin(k)^3 * cos(k)^2/k.

Equals Sum_{k>=1} (-1)^(k+1) * sin((2*k-1)/4)/(2*k-1)^2. (End)

Example

Pi/16 = 0.19634954084936207740391521145496893026232308746094411381... - Vladimir Joseph Stephan Orlovsky, Dec 02 2009

Mathematica

RealDigits[N[Pi/16, 6! ]] (* Vladimir Joseph Stephan Orlovsky, Dec 02 2009 *)

Prog

(PARI) default(realprecision, 100); Pi/16 \\ G. C. Greubel, Aug 26 2019
(Magma) R:= RealField(100); Pi(R)/16; // G. C. Greubel, Aug 26 2019
(Sage) numerical_approx(pi/16, digits=100) # G. C. Greubel, Aug 26 2019

Crossrefs

Cf. A157332, A000796, A003881, A019669, A019670, A019675, A019679, A244978.

Sequence in context: A379394 A198997 A271172 * A020759 A226582 A276538

Adjacent sequences: A019680 A019681 A019682 * A019684 A019685 A019686

Keyword

nonn,cons

Author

N. J. A. Sloane

Status

approved