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.

A153054 Number of points in sporadic known universal optima arising in energy-minimizing point configurations on spheres.

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%I A153054 #13 May 23 2022 22:33:09
%S A153054 12,120,16,27,56,240,112,162,100,275,891,552,4600,196560
%N A153054 Number of points in sporadic known universal optima arising in energy-minimizing point configurations on spheres.
%C A153054 From the second column of Table 1, p. 3, of Ballinger et al. This is an unsorted list of, in a sense, the sporadic solutions, which exclude infinite subsequences corresponding to the n points of the n-gon on the 2-sphere (circle), the n+1 points of the simplex on the n-sphere, the 2n points of the cross polytope on the n-sphere and the (q+1)*(1+q^3) points on isotropic subspaces of the q*(1+q^3)/(q+1)-sphere where q is a prime power.
%H A153054 B. Ballinger, G. Blekherman, H. Cohn, N. Giansiracusa, E. Kelly and A. Schurmann, <a href="https://arxiv.org/abs/math/0611451">Experimental study of energy-minimizing point configurations on spheres</a>, arXiv:math/0611451 [math.MG], 2006-2008.
%e A153054 120 is in the sequence because of the 120 points which are vertices of the regular 600-cell in dimension 4.
%e A153054 196560 is in the sequence because of the Leech lattice minimal vectors in 24 dimensions.
%Y A153054 Cf. A154255.
%K A153054 nonn,more
%O A153054 1,1
%A A153054 _Jonathan Vos Post_, Dec 17 2008