A004540 Expansion of sqrt(2) in base 3.

1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• base
• cons

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..5000
• Jason Kimberley, Index of expansions of sqrt(d) in base b

Crossrefs

Cf. A002193, A004539, A004541.

Cf. A004549, A004559, A004575.

Programs

Magma

Prune(Reverse(IntegerToSequence(Isqrt(2*3^200), 3))); // Vincenzo Librandi, Jan 07 2018

Mathematica

RealDigits[Sqrt[2],3,120][[1]] (* Harvey P. Dale, Sep 20 2016 *)