login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A084896 Decimal expansion of agm(1,4), the arithmetic-geometric mean of 1 and 4. 4

%I #29 Jul 04 2023 11:10:35

%S 2,2,4,3,0,2,8,5,8,0,2,8,7,6,0,2,5,7,0,1,2,7,8,0,2,1,9,2,8,2,9,0,6,6,

%T 5,4,0,5,0,8,9,7,3,1,4,2,4,0,6,6,0,9,9,7,5,9,1,8,8,2,3,7,0,1,3,8,7,4,

%U 0,4,8,0,4,2,2,8,9,9,9,5,7,2,2,4,1,1,1,5,0,5,9,0,9,4,1,9,5,0,2,1,8,5

%N Decimal expansion of agm(1,4), the arithmetic-geometric mean of 1 and 4.

%H Ivan Panchenko, <a href="/A084896/b084896.txt">Table of n, a(n) for n = 1..1000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Arithmetic-GeometricMean.html">Arithmetic-Geometric Mean</a>

%F 2.2430285802876025701278021928290665405089731424066099759188237013874048...

%t RealDigits[ArithmeticGeometricMean[1,4],10,120][[1]] (* _Harvey P. Dale_, May 25 2014 *)

%t RealDigits[N[5Pi/(4EllipticK[9/25]), 102]][[1]] (* _Jean-François Alcover_, Jun 02 2019 *)

%o (PARI) agm(1, 4) \\ _Michel Marcus_, Jun 02 2019

%Y Cf. A068521 (agm(1,2)), A084895 (agm(1,3)), A084897 (agm(1,5)).

%K nonn,cons,easy

%O 1,1

%A _Eric W. Weisstein_, Jun 10 2003

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 23 05:37 EDT 2024. Contains 371906 sequences. (Running on oeis4.)