A004541 Expansion of sqrt(2) in base 4.

1, 1, 2, 2, 2, 0, 0, 2, 1, 3, 2, 1, 2, 1, 2, 1, 3, 3, 3, 0, 3, 2, 3, 3, 0, 3, 0, 2, 1, 0, 0, 2, 0, 2, 3, 0, 2, 3, 3, 2, 3, 0, 1, 0, 3, 1, 2, 1, 2, 3, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 2, 0, 3, 2, 2, 3, 1, 3, 2, 3, 0, 0, 1, 1, 3, 1, 1, 0, 1, 0, 2, 1, 3, 1, 3, 1, 1, 0, 0, 2, 1, 2, 1, 3, 1

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• base
• cons

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000
• Jason Kimberley, Index of expansions of sqrt(d) in base b

Programs

Magma

d:= 2; m:=4; Prune(Reverse(IntegerToSequence(Isqrt(d*m^100), m))); // G. C. Greubel, Mar 31 2018

Mathematica

RealDigits[Sqrt[2], 4, 100][[1]] (* G. C. Greubel, Mar 31 2018 *)