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A127765 Integer part of Gauss' Arithmetic-Geometric Mean M(2,n^4). 4
1, 7, 25, 64, 137, 258, 444, 714, 1086, 1586, 2236, 3063, 4096, 5364, 6899, 8736, 10909, 13455, 16414, 19826, 23734, 28181, 33212, 38876, 45221, 52297, 60158, 68856, 78447, 88988, 100537, 113155, 126903, 141845, 158045, 175570, 194487 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..37.

FORMULA

a(n) ~ Pi*n^4/(8*log(n) + 2*log(2)). - Vaclav Kotesovec, May 09 2016

MATHEMATICA

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

CROSSREFS

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

Sequence in context: A185787 A299273 A001845 * A155305 A155290 A056685

Adjacent sequences:  A127762 A127763 A127764 * A127766 A127767 A127768

KEYWORD

nonn

AUTHOR

Artur Jasinski, Jan 28 2007

STATUS

approved

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Last modified October 23 01:36 EDT 2018. Contains 316518 sequences. (Running on oeis4.)