A282235 a(n) = Fibonacci(n) represented in bijective base-4 numeration.

1, 1, 2, 3, 11, 14, 31, 111, 142, 313, 1121, 1434, 3221, 11321, 21142, 33123, 114331, 214114, 341111, 1221231, 2222342, 3444233, 12333241, 22444134, 41443441, 131214241, 233324342, 431211243, 1331142311, 2422414214, 4414223131, 13443243411, 31124133142

Offset

1,3

Links

Alois P. Heinz, Table of n, a(n) for n = 1..1000

Wikipedia, Bijective numeration

Formula

a(n) = A084544(A000045(n)).

Maple

a:= proc(n) local b, d, l, m; l:= NULL;
      b, m:= 4, combinat[fibonacci](n);
      while m>0 do  d:= irem(m, b, 'm');
        if d=0 then d:=b; m:=m-1 fi;
        l:= d, l
      od; parse(cat(l))
    end:
seq(a(n), n=0..35);

Crossrefs

Column k=4 of A214679.

Cf. A000045, A084544.

Sequence in context: A145771 A042473 A042665 * A242821 A182709 A321766

Adjacent sequences: A282232 A282233 A282234 * A282236 A282237 A282238

Keyword

nonn,base,easy

Author

Alois P. Heinz, Feb 09 2017

Status

approved