The On-Line Encyclopedia of Integer Sequences (OEIS)

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A127763

Integer part of Gauss's Arithmetic-Geometric Mean M(2,n).
(history; published version)

#11 by N. J. A. Sloane at Sun Jul 26 09:06:01 EDT 2020

STATUS

editing

approved

#10 by N. J. A. Sloane at Sun Jul 26 09:05:59 EDT 2020

NAME

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

CROSSREFS

Cf. A127758, A127758, A127759, A127760, A127761, A127762, A127764, A127765, A127766.

STATUS

approved

editing

#9 by N. J. A. Sloane at Mon Jun 06 22:23:03 EDT 2016

REFERENCES

Mohammad K. Azarian, An Application of the Inequality on the Means, Problem B-635, Fibonacci Quarterly, Vol. 27, No. 1, Feb. 1989, p.87. Solution published in Vol. 28, No. 1, Feb. 1990, pp. 86-87.

Discussion

Mon Jun 06

22:23

OEIS Server: https://oeis.org/edit/global/2520

#8 by N. J. A. Sloane at Mon Jun 06 22:20:11 EDT 2016

REFERENCES

Mohammad K. Azarian, AM - GM Strikes Again, Problem 451, College Mathematics Journal, Vol. 22, No. 3, May 1991, p. 255. Solution published in Vol. 23, No. 3, May 1992, pp. 248-249.

Discussion

Mon Jun 06

22:20

OEIS Server: https://oeis.org/edit/global/2519

#7 by Vaclav Kotesovec at Mon May 09 05:25:08 EDT 2016

STATUS

editing

approved

#6 by Vaclav Kotesovec at Mon May 09 05:24:59 EDT 2016

FORMULA

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

MATHEMATICA

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

STATUS

approved

editing

#5 by T. D. Noe at Thu Jul 11 18:39:21 EDT 2013

STATUS

proposed

approved

#4 by Mohammad K. Azarian at Thu Jul 11 16:17:49 EDT 2013

STATUS

editing

proposed

#3 by Mohammad K. Azarian at Thu Jul 11 16:03:20 EDT 2013

REFERENCES

Mohammad K. Azarian, AM - GM Strikes Again, Problem 451, College Mathematics Journal, Vol. 22, No. 3, May 1991, p. 255. Solution published in Vol. 23, No. 3, May 1992, pp. 248-249.

Mohammad K. Azarian, An Application of the Inequality on the Means, Problem B-635, Fibonacci Quarterly, Vol. 27, No. 1, Feb. 1989, p.87. Solution published in Vol. 28, No. 1, Feb. 1990, pp. 86-87.

STATUS

approved

editing

#2 by Russ Cox at Sat Mar 31 10:22:04 EDT 2012

AUTHOR

_Artur Jasinski (grafix(AT)csl.pl), _, Jan 28 2007

Discussion

Sat Mar 31

10:22

OEIS Server: https://oeis.org/edit/global/339