A257578 - OEIS

%I #15 Oct 31 2019 11:40:56

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

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

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

%N Continued square root map applied to fourth powers: 1, 2^4, 3^4, 4^4, ...

%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="/A257578/b257578.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 2.4674045317177931067479906...

%Y Cf. A000583 (the fourth powers).

%K nonn,cons

%O 1,1

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

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