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A055416
Number of points in Z^10 of norm <= n.
6
1, 21, 4541, 198765, 3083569, 27634481, 164379601, 759891589, 2839094517, 9183188589, 26107328109, 67602028569, 160441685209, 357086356401, 746545031221, 1487788785845, 2829595966381, 5188248484757, 9170828884817
OFFSET
0,2
COMMENTS
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
REFERENCES
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag.
LINKS
FORMULA
a(n) = [x^(n^2)] theta_3(x)^10/(1 - x), where theta_3() is the Jacobi theta function. - Ilya Gutkovskiy, Apr 15 2018
EXAMPLE
To check that a(2) = 4541:
norm^2 # total
0 1 1
1 20 21
2 180 201
3 960 1161
4 3380 4541
CROSSREFS
Column k=10 of A302997.
Sequence in context: A250064 A200998 A209473 * A220620 A221120 A203370
KEYWORD
nonn
EXTENSIONS
Edited by N. J. A. Sloane, Sep 29 2007
STATUS
approved