A127764 Integer part of Gauss's Arithmetic-Geometric Mean M(2,n^3).

1, 4, 10, 20, 35, 55, 82, 116, 157, 206, 265, 333, 411, 500, 601, 714, 839, 978, 1130, 1298, 1480, 1678, 1892, 2123, 2371, 2637, 2922, 3225, 3548, 3892, 4256, 4641, 5047, 5477, 5928, 6404, 6903, 7426, 7974, 8548, 9148, 9774, 10427, 11108, 11816, 12553

Offset

1,2

Links

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

Formula

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

Mathematica

Table[Floor[ArithmeticGeometricMean[2, n^3]], {n, 1, 100}]

Crossrefs

Cf. A127758, A127759, A127760, A127761, A127762, A127763, A127765, A127766.

Sequence in context: A289388 A038406 A301007 * A138778 A301244 A038409

Adjacent sequences: A127761 A127762 A127763 * A127765 A127766 A127767

Keyword

nonn

Author

Artur Jasinski, Jan 28 2007

Status

approved