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Integer part of Gauss's Arithmetic-Geometric Mean M(2,n^4).
4

%I #11 Jul 26 2020 09:07:00

%S 1,7,25,64,137,258,444,714,1086,1586,2236,3063,4096,5364,6899,8736,

%T 10909,13455,16414,19826,23734,28181,33212,38876,45221,52297,60158,

%U 68856,78447,88988,100537,113155,126903,141845,158045,175570,194487

%N Integer part of Gauss's Arithmetic-Geometric Mean M(2,n^4).

%F a(n) ~ Pi*n^4/(8*log(n) + 2*log(2)). - _Vaclav Kotesovec_, May 09 2016

%t Table[Floor[ArithmeticGeometricMean[2, n^4]], {n, 1, 100}]

%Y Cf. A127758, A127759, A127760, A127761, A127762, A127763, A127764, A127766.

%K nonn

%O 1,2

%A _Artur Jasinski_, Jan 28 2007