cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A230461 Decimal expansion of AGM(sqrt(2), sqrt(3)).

This page as a plain text file.
%I A230461 #17 Oct 07 2018 11:19:49
%S A230461 1,5,6,9,1,0,5,8,0,2,8,6,9,3,2,2,3,2,6,9,8,5,1,9,5,4,5,6,0,7,8,2,5,6,
%T A230461 1,6,7,3,1,3,9,4,5,2,0,0,0,9,0,1,7,3,7,9,6,3,1,6,8,4,6,1,9,0,3,4,2,3,
%U A230461 2,1,6,2,8,3,2,1,4,8,9,5,8,5,2,4,1,4,4,9,8,0,5,5,7,9,0,6,3,9,0,3,4,1,0,7,6
%N A230461 Decimal expansion of AGM(sqrt(2), sqrt(3)).
%C A230461 AGM(a, b) is the limit of the arithmetic-geometric mean iteration applied repeatedly starting with a and b: a_0 = a, b_0 = b, a_{n+1} = (a_n+b_n)/2, b_{n+1} = sqrt(a_n*b_n).
%D A230461 J. M. Borwein and P. B. Borwein, Pi and the AGM, page 5.
%H A230461 G. C. Greubel, <a href="/A230461/b230461.txt">Table of n, a(n) for n = 1..10000</a>
%e A230461 1.5691058028693223269851954560782561673139452000901737963168461903...
%p A230461 evalf(GaussAGM(sqrt(2),sqrt(3)),120); # _Muniru A Asiru_, Oct 06 2018
%t A230461 RealDigits[ ArithmeticGeometricMean[ Sqrt[2], Sqrt[3]], 10, 105][[1]]
%o A230461 (PARI) agm(sqrt(2), sqrt(3)) \\ _Charles R Greathouse IV_, Mar 03 2016
%Y A230461 Cf. A014549, A053003.
%Y A230461 Cf. A002193 (sqrt(2)), A002194 (sqrt(3)).
%K A230461 nonn,cons,easy
%O A230461 1,2
%A A230461 _Robert G. Wilson v_, Oct 19 2013