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A127757 Integer part of Gauss' Arithmetic-Geometric Mean M(1,n). 1
1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,4
LINKS
Table of n, a(n) for n=1..79.
FORMULA
a(n) ~ Pi*n/(2*log(n) + 4*log(2)). - Vaclav Kotesovec, May 09 2016
MATHEMATICA
Table[Floor[ArithmeticGeometricMean[1, n]], {n, 1, 100}]
CROSSREFS
Cf. A127758, A127759, A127760, A127761.
Sequence in context: A062299 A157685 A220658 * A172264 A079001 A032615
Adjacent sequences: A127754 A127755 A127756 * A127758 A127759 A127760
KEYWORD
nonn
AUTHOR
Artur Jasinski, Jan 28 2007
STATUS
approved

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Last modified August 29 08:01 EDT 2024. Contains 375510 sequences. (Running on oeis4.)