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Minimal determinant of n-dimensional norm 3 lattice.
(Formerly M2724)
0

%I M2724 #26 Oct 26 2023 23:16:10

%S 1,3,8,16,32,48,64,64

%N Minimal determinant of n-dimensional norm 3 lattice.

%C The g.f. (1 + z + 2*z^2 + 2*z^3 + 6*z^4)/(1 - 2*z + 2*z*^3) conjectured by _Simon Plouffe_ in his 1992 dissertation is almost certainly wrong.

%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 180.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H Simon Plouffe, <a href="https://arxiv.org/abs/0911.4975">Approximations de séries génératrices et quelques conjectures</a>, Dissertation, Université du Québec à Montréal, 1992; arXiv:0911.4975 [math.NT], 2009.

%H Simon Plouffe, <a href="/A000051/a000051_2.pdf">1031 Generating Functions</a>, Appendix to Thesis, Montreal, 1992.

%K nonn,more,hard

%O 0,2

%A _N. J. A. Sloane_