cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A222071 Decimal expansion of (1/105)*Pi^3.

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%I A222071 #23 Dec 24 2024 09:38:33
%S A222071 2,9,5,2,9,7,8,7,3,1,4,5,7,1,2,5,7,3,0,9,9,7,7,4,4,2,9,2,1,0,4,8,9,4,
%T A222071 7,8,1,1,6,4,3,1,3,1,9,6,7,5,0,9,6,2,6,3,7,5,3,7,5,7,5,0,5,7,5,0,5,3,
%U A222071 7,0,9,4,4,5,2,0,5,4,3,4,3,2,1,4,9,2,0,9,6,2,2,1,5,2,6,5,5,8
%N A222071 Decimal expansion of (1/105)*Pi^3.
%C A222071 Conjectured to be density of densest packing of equal spheres in 7 dimensions (achieved for example by the E_7 lattice).
%D A222071 J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer, 3rd. ed., 1998. See p. xix.
%D A222071 Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 8.7, p. 507.
%H A222071 J. H. Conway and N. J. A. Sloane, <a href="https://doi.org/10.1007/BF02574051">What are all the best sphere packings in low dimensions?</a>, Discr. Comp. Geom., 13 (1995), 383-403.
%H A222071 G. Nebe and N. J. A. Sloane, <a href="http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/E7.html">Home page for E_7 lattice</a>.
%H A222071 N. J. A. Sloane and Andrey Zabolotskiy, <a href="/A093825/a093825_1.txt">Table of maximal density of a packing of equal spheres in n-dimensional Euclidean space (some values are only conjectural)</a>.
%H A222071 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A222071 0.295297873145712573099774429210489478116431319675...
%t A222071 RealDigits[Pi^3/105, 10, 120][[1]] (* _Amiram Eldar_, Jun 28 2023 *)
%o A222071 (PARI) Pi^3/105 \\ _Charles R Greathouse IV_, Oct 31 2014
%Y A222071 Related constants: A020769, A020789, A093766, A093825, A222066, A222067, A222068, A222069, A222070, A222072, A260646.
%K A222071 nonn,cons
%O A222071 0,1
%A A222071 _N. J. A. Sloane_, Feb 10 2013