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A234362 Floor(AGM(n^2, n^3)), where AGM denotes the arithmetic-geometric mean. 1

%I #5 Dec 27 2013 14:10:00

%S 0,1,5,16,35,65,106,161,231,318,425,551,700,872,1069,1293,1545,1827,

%T 2140,2486,2866,3281,3734,4225,4755,5327,5942,6601,7306,8057,8856,

%U 9706,10606,11558,12565,13626,14744,15919,17154,18449,19805,21225,22709,24259,25876,27561

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

%o (Python)

%o import math

%o for n in range(67):

%o x = n*n

%o y = x*n

%o a = (x+y)*0.5

%o g = math.sqrt(x*y)

%o while abs(a-g)>0.00000000001:

%o x = a

%o y = g

%o a = (x+y)*0.5

%o g = math.sqrt(x*y)

%o print str(int(a))+',',

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

%K nonn

%O 0,3

%A _Alex Ratushnyak_, Dec 24 2013

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Last modified August 31 08:34 EDT 2024. Contains 375560 sequences. (Running on oeis4.)