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

Author

Alex Ratushnyak, Dec 24 2013

Keywords

• nonn

Crossrefs

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

Programs

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(int(a), end=', ')