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Continued square root map applied to powers of 2, 1,2,4,8,16,...
4

%I #14 Oct 31 2019 11:41:08

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

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

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

%N Continued square root map applied to powers of 2, 1,2,4,8,16,...

%C The continued square root map applied to a sequence b(1), b(2), b(3), ... produces the decimal number sqrt(b(1)+sqrt(b(2)+sqrt(b(3)+sqrt(b(4)+...)))).

%H Hiroaki Yamanouchi, <a href="/A257576/b257576.txt">Table of n, a(n) for n = 1..1000</a>

%H Herman P. Robinson, <a href="/A257574/a257574.pdf">The CSR Function</a>, Popular Computing (Calabasas, CA), Vol. 4 (No. 35, Feb 1976), pages PC35-3 to PC35-4. Annotated and scanned copy.

%e 1.7831658092640988827103049...

%Y Cf. A000079 (powers of 2).

%K nonn,cons

%O 1,2

%A _N. J. A. Sloane_, May 02 2015

%E a(27)-a(87) from _Hiroaki Yamanouchi_, May 03 2015