

A019673


Decimal expansion of Pi/6.


16



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

0,1


COMMENTS

From Omar E. Pol, Aug 30 2007: (Start)
Pi/6 = Volume of the inscribed ellipsoid / (Volume of the cuboid (If L1>L2>L3)).
Pi/6 = Volume of the inscribed spheroid / (Volume of the cuboid (If L1>(L2=L3))).
Pi/6 = Volume of the inscribed spheroid / (Volume of the cuboid (If L1<(L2=L3))).
Pi/6 = Volume of the inscribed sphere / (Volume of the regular hexahedron (Or cube)). (End)
Pi/6 = Surface area of the inscribed sphere / (surface area of the regular hexahedron (or cube)).  Omar E. Pol, Nov 13 2007
Decimal expansion of arctan(sqrt(1/3)).  Clark Kimberling, Sep 23 2011
Also, decimal expansion of sum( k>=1, (120+329*k+568*k^2)/(k*(1+k)*(1+2*k)*(1+4*k)*(3+4*k)*(5+4*k)) ). [Bruno Berselli, Dec 01 2013]
Atomic packing factor (APF) of the simple cubic lattice filled with spheres of the same diameter (unique example among chemical elements: polonium crystal).  Stanislav Sykora, Sep 29 2014


REFERENCES

Ian Stewart, Professor Stewart's Cabinet of Mathematical Curiosities, Basic Books, a member of the Perseus Books Group, NY, 2009, "A Constant Bore", pp. 4950 & 264266.


LINKS

Ivan Panchenko, Table of n, a(n) for n = 0..1000
Wikipedia, Atomic packing factor


EXAMPLE

Pi/6 = 0.5235987755982988730771072305465838140328615665625176368291574...


MATHEMATICA

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


PROG

(PARI) Pi/6 \\ Charles R Greathouse IV, Jul 07 2014


CROSSREFS

Cf. A000796, A132696.
Cf. APF's of other crystal lattices: A093825 (hcp,fcc), A247446 (diamond cubic).
Sequence in context: A097078 A237200 A021195 * A229780 A272031 A090183
Adjacent sequences: A019670 A019671 A019672 * A019674 A019675 A019676


KEYWORD

nonn,cons


AUTHOR

N. J. A. Sloane.


STATUS

approved



