A093832 Values of r such that N(r)/r^2 > Pi, where N(r) is the number of integer lattice points (x,y) inside or on a circle of radius r.

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

Offset

1,2

Links

David Wasserman, Table of n, a(n) for n = 1..160

Eric Weisstein's World of Mathematics, Gauss's Circle Problem.

Prog

(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, Dec 05 2006

Crossrefs

Cf. A000328, A000328, A093837.

Sequence in context: A014192 A250746 A048315 * A050947 A037387 A256055

Adjacent sequences: A093829 A093830 A093831 * A093833 A093834 A093835

Keyword

nonn

Author

Eric W. Weisstein, Apr 17 2004

Extensions

Corrected and extended by David Wasserman, Dec 05 2006

Name corrected by Luis Mendo, Sep 24 2023

Status

approved