login
Values of s in Wolfram's iteration for sqrt(2).
1

%I #6 Feb 16 2025 08:32:53

%S 0,4,8,20,44,88,180,360,724,1448,2896,5792,11584,23168,46340,92680,

%T 185360,370724,741452,1482908,2965820,5931640,11863280,23726564,

%U 47453132,94906264,189812528,379625060,759250124,1518500248

%N Values of s in Wolfram's iteration for sqrt(2).

%C When interpreted as binary numbers, these successively approach sqrt(2).

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/WolframsIteration.html">Wolfram's Iteration</a>

%e 724 = 1011010100_2; sqrt(2) = 1.011010100..._2

%Y Cf. A095803.

%K nonn,changed

%O 0,2

%A _Eric W. Weisstein_, Jun 07 2004