A234362 Floor(AGM(n^2, n^3)), where AGM denotes the arithmetic-geometric mean.

0, 1, 5, 16, 35, 65, 106, 161, 231, 318, 425, 551, 700, 872, 1069, 1293, 1545, 1827, 2140, 2486, 2866, 3281, 3734, 4225, 4755, 5327, 5942, 6601, 7306, 8057, 8856, 9706, 10606, 11558, 12565, 13626, 14744, 15919, 17154, 18449, 19805, 21225, 22709, 24259, 25876, 27561

Offset

0,3

Links

Table of n, a(n) for n=0..45.

Prog

(Python)
import math
for n in range(67):
  x = n*n
  y = x*n
  a = (x+y)*0.5
  g = math.sqrt(x*y)
  while abs(a-g)>0.00000000001:
    x = a
    y = g
    a = (x+y)*0.5
    g = math.sqrt(x*y)
  print str(int(a))+', ',

Crossrefs

Cf. A000290, A000578, A061979, A076145, A234363.

Sequence in context: A098404 A190970 A077415 * A363613 A363605 A108966

Adjacent sequences: A234359 A234360 A234361 * A234363 A234364 A234365

Keyword

nonn

Author

Alex Ratushnyak, Dec 24 2013

Status

approved