A181632 The Fibonacci Champernowne sequence.

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

Offset

0,1

Comments

Uses Fibonacci Maximal notation: headings are (..., 13, 8, 5, 3, 2, 1) filling in terms from the right.

Minimal notation fills in from the left. 8 in Fibonacci Maximal = (1011) = (5 + 2 + 1), whereas 8 in Minimal = (1100) = (5 + 3).

Links

Table of n, a(n) for n=0..104.

Formula

Write n in Fibonacci Maximal notation and juxtapose.

Example

First few segregated Fibonacci terms (0-6) = (0, 1, 10, 11, 101, 110, 111);
so the juxtaposed string begins (0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1,...).

Mathematica

Flatten[DeleteCases[IntegerDigits[-1 + Range[200], 2], {___, 0, 0, ___}]]
(* Peter J. C. Moses, Mar 03 2015 *)

Crossrefs

Cf. A030190, A181630, A181631.

Sequence in context: A368915 A144610 A188068 * A105565 A332814 A353788

Adjacent sequences: A181629 A181630 A181631 * A181633 A181634 A181635

Keyword

nonn,base

Author

Gary W. Adamson, Nov 02 2010

Status

approved