A127759 Integer part of Gauss's Arithmetic-Geometric Mean M(1,n^3).

1, 3, 9, 18, 31, 50, 74, 105, 143, 189, 243, 307, 380, 463, 557, 663, 780, 910, 1054, 1211, 1382, 1569, 1770, 1988, 2222, 2473, 2742, 3029, 3334, 3659, 4003, 4368, 4753, 5159, 5587, 6038, 6511, 7008, 7528, 8072, 8642, 9236, 9857, 10503, 11177, 11877

Offset

1,2

Links

Table of n, a(n) for n=1..46.

Formula

a(n) ~ Pi*n^3/(6*log(n) + 4*log(2)). - Vaclav Kotesovec, May 09 2016

Mathematica

Table[Floor[ArithmeticGeometricMean[1, n^3]], {n, 1, 100}]

Crossrefs

Cf. A127758, A127760, A127761.

Sequence in context: A194113 A330010 A194114 * A064843 A093446 A256524

Adjacent sequences: A127756 A127757 A127758 * A127760 A127761 A127762

Keyword

nonn

Author

Artur Jasinski, Jan 28 2007

Status

approved