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

1,3

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

Formula

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

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

Crossrefs

Cf. A000045, A007931, A214679.

Sequence in context: A266202 A113721 A127199 * A111090 A111081 A218340

Adjacent sequences: A085649 A085650 A085651 * A085653 A085654 A085655

Keyword

nonn,base,easy

Author

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

Extensions

More terms from David Wasserman, Feb 08 2005

Status

approved