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

1,2

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)+...)))).

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.

Example

1.7831658092640988827103049...

Crossrefs

Cf. A000079 (powers of 2).

Sequence in context: A266566 A309523 A153622 * A378129 A064207 A020843

Adjacent sequences: A257573 A257574 A257575 * A257577 A257578 A257579

Keyword

nonn,cons

Author

N. J. A. Sloane, May 02 2015

Extensions

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

Status

approved