A004585 Expansion of sqrt(10) in base 2.

1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1

Offset: 2

Author

N. J. A. Sloane

Keywords

• nonn
• base
• cons

Links

• G. C. Greubel, Table of n, a(n) for n = 2..10000
• Jason Kimberley, Index of expansions of sqrt(d) in base b

Crossrefs

Cf. A010467.

Programs

Magma

d:= 10; m:=2; Prune(Reverse(IntegerToSequence(Isqrt(d*m^100), m))); // G. C. Greubel, Mar 25 2018

Mathematica

RealDigits[Sqrt[10], 2, 100][[1]] (* G. C. Greubel, Mar 25 2018 *)

PARI

my(b = binary(sqrt(10))); concat(b[1], b[2]) \\ Michel Marcus, Mar 26 2018