The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A093832 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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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.
(history; published version)

#20 by Michael De Vlieger at Sun Oct 15 09:27:29 EDT 2023

STATUS

reviewed

approved

#19 by Joerg Arndt at Sun Oct 15 04:04:00 EDT 2023

STATUS

proposed

reviewed

#18 by Jon E. Schoenfield at Mon Sep 25 04:47:21 EDT 2023

STATUS

editing

proposed

#17 by Jon E. Schoenfield at Mon Sep 25 04:47:18 EDT 2023

LINKS

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/GausssCircleProblem.html">Gauss's Circle Problem</a>.

STATUS

proposed

editing

#16 by Michel Marcus at Mon Sep 25 03:57:55 EDT 2023

STATUS

editing

proposed

#15 by Michel Marcus at Mon Sep 25 03:57:22 EDT 2023

EXTENSIONS

Name corrected by Luis Mendo, Sep 24 2023

STATUS

proposed

editing

Discussion

Mon Sep 25

03:57

Michel Marcus: or Name clarified by ....   if preferred

#14 by Luis Mendo at Sun Sep 24 18:59:43 EDT 2023

STATUS

editing

proposed

Discussion

Mon Sep 25

00:58

Michel Marcus: name edit should be recorded in extension

#13 by Luis Mendo at Sun Sep 24 18:59:15 EDT 2023

NAME

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.

STATUS

approved

editing

#12 by Jon E. Schoenfield at Sat Aug 15 08:41:40 EDT 2015

STATUS

editing

approved

#11 by Jon E. Schoenfield at Sat Aug 15 08:41:35 EDT 2015

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

AUTHOR

Eric W. Weisstein, Apr 17, 2004

STATUS

approved

editing