A085652 Fibonacci sequence in base 2 of the alternate number system.

1, 1, 2, 11, 21, 112, 221, 1221, 11122, 22111, 122121, 1121112, 2212121, 12222121, 112211122, 222122211, 2111222221, 12111122112, 111112121221, 212112212221, 1212122111122, 11121211221111, 21222222221121, 122121211211112, 1121121211121121, 2212212111221121

Offset: 1

Author

Bob Forslund (forslund(AT)tbaytel.net), Jul 11 2003

Keywords

• nonn
• base
• easy

References

• R. R. Forslund, A Logical Alternative to the existing positional number system. Souhtwest Journal of Pure and Applied Mathematics. Dec. 1995. Vol. 1

Links

• Alois P. Heinz, Table of n, a(n) for n = 1..1000
• R. R. Forslund, A Logical Alternative to the Existing Positional Number System
• R. R. Forslund, A Logical Alternative to the Existing Positional Number System

Crossrefs

Cf. A000045, A007931, A214679.

Programs

Maple

a:= proc(n) local d, l, m;
      m:= combinat[fibonacci](n); l:= NULL;
      while m>0 do d:= irem(m, 2, 'm');
        if d=0 then d:=2; m:= m-1 fi;
        l:= d, l
      od; parse(cat(l))
    end:
seq(a(n), n=1..30);  # Alois P. Heinz, Jul 25 2012

Formula

a(n) = A007931(A000045(n)).

Extensions

More terms from David Wasserman, Feb 08 2005