A127762 Integer part of Gauss's Arithmetic-Geometric Mean M(2,n^2).

1, 2, 4, 7, 10, 13, 16, 20, 25, 29, 34, 39, 45, 51, 57, 64, 71, 78, 86, 93, 102, 110, 119, 128, 137, 147, 157, 167, 177, 188, 199, 210, 222, 234, 246, 258, 271, 284, 297, 311, 325, 339, 353, 368, 382, 398, 413, 429, 444, 461, 477, 494, 511, 528, 545, 563, 581

Offset

1,2

Links

Table of n, a(n) for n=1..57.

Formula

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

Mathematica

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

Crossrefs

Cf. A127758, A127759, A127760, A127761, A127763, A127764, A127765, A127766.

Sequence in context: A295513 A194228 A194236 * A137281 A287420 A003067

Adjacent sequences: A127759 A127760 A127761 * A127763 A127764 A127765

Keyword

nonn

Author

Artur Jasinski, Jan 28 2007

Status

approved