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.

A055416 Number of points in Z^10 of norm <= n.

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%I A055416 #15 Sep 15 2019 13:49:13
%S A055416 1,21,4541,198765,3083569,27634481,164379601,759891589,2839094517,
%T A055416 9183188589,26107328109,67602028569,160441685209,357086356401,
%U A055416 746545031221,1487788785845,2829595966381,5188248484757,9170828884817
%N A055416 Number of points in Z^10 of norm <= n.
%C A055416 Here "norm" is being used in the sense of L_2 norm, as opposed to the definition in SPLAG. - _N. J. A. Sloane_, Sep 29 2007
%D A055416 J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag.
%H A055416 Andrew Howroyd, <a href="/A055416/b055416.txt">Table of n, a(n) for n = 0..500</a>
%F A055416 a(n) = [x^(n^2)] theta_3(x)^10/(1 - x), where theta_3() is the Jacobi theta function. - _Ilya Gutkovskiy_, Apr 15 2018
%e A055416 To check that a(2) = 4541:
%e A055416 norm^2 # total
%e A055416 0 1 1
%e A055416 1 20 21
%e A055416 2 180 201
%e A055416 3 960 1161
%e A055416 4 3380 4541
%Y A055416 Column k=10 of A302997.
%K A055416 nonn
%O A055416 0,2
%A A055416 _David W. Wilson_
%E A055416 Edited by _N. J. A. Sloane_, Sep 29 2007