A257576 Continued square root map applied to powers of 2, 1,2,4,8,16,...

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

Offset: 1

Author

N. J. A. Sloane, May 02 2015

Keywords

• nonn
• cons

Comments

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)+...)))).

Examples

			1.7831658092640988827103049...
		

Links

• Hiroaki Yamanouchi, Table of n, a(n) for n = 1..1000
• Herman P. Robinson, The CSR Function, Popular Computing (Calabasas, CA), Vol. 4 (No. 35, Feb 1976), pages PC35-3 to PC35-4. Annotated and scanned copy.

Crossrefs

Cf. A000079 (powers of 2).

Extensions

a(27)-a(87) from Hiroaki Yamanouchi, May 03 2015