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Search: id:A000605
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| A000605 |
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Number of points of norm <= n in cubic lattice.
(Formerly M4406 N1860)
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+0
5
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| 1, 7, 33, 123, 257, 515, 925, 1419, 2109, 3071, 4169, 5575, 7153, 9171, 11513, 14147, 17077, 20479, 24405, 28671, 33401, 38911, 44473, 50883, 57777, 65267, 73525, 82519, 91965, 101943, 113081, 124487, 137065, 150555, 164517, 179579, 195269, 212095
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 107.
W. Fraser and C. C. Gotlieb, A calculation of the number of lattice points in the circle and sphere, Math. Comp., 16 (1962), 282-290.
H. Gupta, A Table of Values of N_3(t), Proc. National Institute of Sciences of India, 13 (1947), 35-63.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..500
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MATHEMATICA
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Needs["NumberTheory`NumberTheoryFunctions`"]; Table[Sum[SumOfSquaresR[3, k], {k, 0, n^2}], {n, 0, 37}]
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CROSSREFS
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Sequence in context: A051895 A131211 A100855 this_sequence A114014 A066810 A034577
Adjacent sequences: A000602 A000603 A000604 this_sequence A000606 A000607 A000608
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from David W. Wilson (davidwwilson(AT)comcast.net), May 22, 2000
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