A004555 - OEIS

A004555

Expansion of sqrt(5) in base 2.

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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

2,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 2..10000 (terms 2..1000 from Ivan Panchenko)

Jason Kimberley, Index of expansions of sqrt(d) in base b

EXAMPLE

10.0011110001101110111100110111001011111110100101001111100000101011111001110...

MATHEMATICA

RealDigits[Sqrt[5], 2, 120][[1]] (* Harvey P. Dale, Apr 08 2015 *)

PROG

(Magma) d:= 5; m:=2; Prune(Reverse(IntegerToSequence(Isqrt(d*m^100), m))); // G. C. Greubel, Mar 31 2018