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Search: id:A078183
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| A078183 |
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Number of solutions to x^2 + y^2 + z^2 < n^2; number of lattice points inside a sphere of radius n. |
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+0
2
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| 0, 1, 27, 93, 251, 485, 895, 1365, 2103, 2969, 4139, 5497, 7123, 9093, 11459, 13997, 17071, 20377, 24303, 28545, 33371, 38641, 44395, 50733, 57747, 65117, 73447, 82201, 91911, 101769, 112931, 124289, 137059, 150165, 164415, 179309, 195167
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n) = A000605(n) - A016725(n)
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MATHEMATICA
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s = 0; Table[s = s + Sum[SumOfSquaresR[3, k], {k, (n - 1)^2, n^2 - 1}], {n, 0, 50}] (* First do <<NumberTheory`NumberTheoryFunctions` *)
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CROSSREFS
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Cf. A000605, A016725.
Sequence in context: A044214 A044595 A101100 this_sequence A072252 A154041 A118615
Adjacent sequences: A078180 A078181 A078182 this_sequence A078184 A078185 A078186
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KEYWORD
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nonn
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), Nov 21 2002
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