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

%I A234362 #8 May 20 2025 12:52:35
%S A234362 0,1,5,16,35,65,106,161,231,318,425,551,700,872,1069,1293,1545,1827,
%T A234362 2140,2486,2866,3281,3734,4225,4755,5327,5942,6601,7306,8057,8856,
%U A234362 9706,10606,11558,12565,13626,14744,15919,17154,18449,19805,21225,22709,24259,25876,27561
%N A234362 Floor(AGM(n^2, n^3)), where AGM denotes the arithmetic-geometric mean.
%o A234362 (Python)
%o A234362 import math
%o A234362 for n in range(67):
%o A234362   x = n*n
%o A234362   y = x*n
%o A234362   a = (x+y)*0.5
%o A234362   g = math.sqrt(x*y)
%o A234362   while abs(a-g)>0.00000000001:
%o A234362     x = a
%o A234362     y = g
%o A234362     a = (x+y)*0.5
%o A234362     g = math.sqrt(x*y)
%o A234362   print(int(a), end=', ')
%Y A234362 Cf. A000290, A000578, A061979, A076145, A234363.
%K A234362 nonn
%O A234362 0,3
%A A234362 _Alex Ratushnyak_, Dec 24 2013