The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A231603 Floor of the arithmetic-geometric mean of n+n and n*n. 1
 0, 1, 4, 7, 11, 16, 22, 28, 35, 43, 52, 61, 70, 81, 92, 103, 115, 128, 141, 155, 170, 185, 200, 216, 233, 250, 268, 286, 305, 325, 344, 365, 386, 408, 430, 452, 475, 499, 523, 548, 573, 598, 625, 651, 678, 706, 734, 763, 792, 822, 852, 883, 914, 945, 978, 1010, 1043, 1077, 1111, 1145, 1180, 1216, 1252, 1288, 1325 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Arithmetic-geometric mean of n+n and n*n. AGM of the sum and product of n and n. a(n) = agm(A005843(n), A000290(n)). LINKS Wikipedia, Arithmetic-geometric mean FORMULA a(n) = floor(agm(n+n,n*n)). EXAMPLE a(2) = floor(agm(2+2, 2*2)) = floor(agm(4, 4)) = 4. a(5) = floor(agm(10.0, 25.0)) = floor(agm(17.5, 15.811388)) = floor(agm(16.655695, 16.634281)) = floor(agm(16.644987, 16.644983)) = floor(16.644987) = 16. MATHEMATICA Table[Floor[ArithmeticGeometricMean[2n, n^2]], {n, 0, 70}] (* Harvey P. Dale, Aug 03 2014 *) PROG (Java) public class Agmnxn {     private static final double TOLERANCE = Math.pow(10, -4);     private static final long LENGTH = 250;     public static void main(String[] args) {        String series="";        long n=0;        while (series.length()

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

Last modified September 20 11:47 EDT 2021. Contains 347584 sequences. (Running on oeis4.)