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A234362
Floor(AGM(n^2, n^3)), where AGM denotes the arithmetic-geometric mean.
1
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
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
KEYWORD
nonn
AUTHOR
Alex Ratushnyak, Dec 24 2013
STATUS
approved