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Search: id:A093832
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| A093832 |
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Values of r such that N(r)/r^2 > Pi, where N(r) is the number of integer lattice points (x,y) inside a circle of radius r. |
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+0
3
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| 1, 2, 3, 5, 10, 15, 20, 35, 51, 52, 85, 100, 230, 247, 370, 425, 489, 725, 730, 1073, 1310, 1865, 1997, 2480, 2831, 3072, 3424, 3750, 3861, 3921, 4025, 4339, 4771, 4885, 5559, 5949, 6203, 6411, 7045, 7084, 7410, 7605, 8931, 9308, 9435, 9646, 10829, 10930
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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David Wasserman, Table of n, a(n) for n = 1..161
Eric Weisstein's World of Mathematics, Gauss's Circle Problem
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PROGRAM
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(PARI) A000328(n) = local(x, y, c, nn); c = 0; x = 0; nn = n*n; y = n; while (x < y, c += x; y--; x = sqrtint(nn - y*y)); 4*(n - y) + 8*c + (2*y + 1)^2; for (n = 1, 100000, if (A000328(n) > Pi*n*n, print(n))); - David Wasserman (dwasserm(AT)earthlink.net), Dec 05 2006
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CROSSREFS
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Cf. A000328, A000328, A093837.
Sequence in context: A043707 A014192 A048315 this_sequence A050947 A037387 A043826
Adjacent sequences: A093829 A093830 A093831 this_sequence A093833 A093834 A093835
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KEYWORD
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nonn
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com), Apr 17, 2004
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EXTENSIONS
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Corrected and extended by David Wasserman (dwasserm(AT)earthlink.net), Dec 05 2006
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