The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A093836 Numerator of A000328(n)/n^2, where A000328(n) is the number of lattice points (x,y) with x^2 + y^2 <= n^2. 3
 5, 13, 29, 49, 81, 113, 149, 197, 253, 317, 377, 49, 529, 613, 709, 797, 53, 1009, 1129, 1257, 1373, 1517, 1653, 1793, 1961, 2121, 763, 2453, 2629, 2821, 3001, 3209, 3409, 3625, 3853, 1351, 4293, 4513, 4777, 201, 5261, 5525, 5789, 6077, 6361, 6625 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS First differs from A000328 at n=12: A000328(12) = 441, a(12) = 49. LINKS Robert Israel, Table of n, a(n) for n = 1..10000 Eric Weisstein's World of Mathematics, Gauss's Circle Problem MAPLE N:= 100: # to get a(1) to a(N) B:= Array(1..N); for i from 0 to N do for j from i while i^2 + j^2 <= N^2 do v:= ceil(sqrt(i^2+j^2)); if [i, j] = [0, 0] then m:= 1; v:= 1 elif i=0 or i=j then m:= 4 else m:= 8 fi; B[v]:= B[v]+m; od od: A000328:= ListTools:-PartialSums(convert(B, list)): seq(numer(A000328[n]/n^2), n=1..N); # Robert Israel, May 28 2015 CROSSREFS Cf. A093837 (denominators), A000328, A093832. Sequence in context: A095085 A309371 A230281 * A000328 A272750 A272801 Adjacent sequences: A093833 A093834 A093835 * A093837 A093838 A093839 KEYWORD nonn,frac AUTHOR Eric W. Weisstein, Apr 17 2004 EXTENSIONS Definition edited by Robert Israel, May 28 2015 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified April 12 10:51 EDT 2024. Contains 371632 sequences. (Running on oeis4.)