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Continued square root map applied to tenth powers: 1, 2^10, 3^10, 4^10, ...
1

%I #13 Oct 31 2019 11:40:43

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

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

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

%N Continued square root map applied to tenth powers: 1, 2^10, 3^10, 4^10, ...

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

%C sqrt(b(1)+sqrt(b(2)+sqrt(b(3)+sqrt(b(4)+...)))).

%H Hiroaki Yamanouchi, <a href="/A257580/b257580.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 6.0518133295215266021047308...

%Y Cf. A008454 (tenth 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