Square Root of 2/Binary Expansion

Binary Expansion

The binary expansion of the square root of $2$ starts:

$\sqrt 2 \approx 1 \cdotp 01101 \, 01000 \, 00 \ldots$

This sequence is A004539 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).


Sources

  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $1 \cdotp 41421 \, 35623 \, 73095 \, 04880 \, 16887 \, 24209 \, 69807 \, 85697 \ldots$
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