A099877 - OEIS

%I #6 May 09 2015 17:32:56

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

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

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

%N Decimal expansion of nested radical: Sqrt(1^2 + CubeRoot(2^3 + 4thRoot(3^4 + 5thRoot(4^5 + ...

%H Chai Wah Wu, <a href="/A099877/b099877.txt">Table of n, a(n) for n = 1..10000</a>

%e 1.7962268369357180316400150423265975895...

%o (PARI) t=0:forstep(n=100,1,-1,t=(t+n^(n+1))^(1/(n+1)))

%Y Cf. A072449, A099874, A099876.

%K cons,easy,nonn

%O 1,2

%A Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 02 2004