A179560 Number whose continued fraction is a run-length encoding of its own binary representation (in binary).

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

Offset

1,1

Links

Table of n, a(n) for n=1..105.

Example

0.101000111000010001001011011100011001... implies one 1, one 0, one 1, three 0's, three 1's, four 0's etc. This implies a continued fraction of the run lengths [0;1,1,1,3,3,4,1,3,1,2,1,1,2,1,3,3,2,2,1,...] which is equal to the original binary number.

Crossrefs

Cf. Decimal equivalent: A179559, Continued fraction terms: A179561.

Sequence in context: A228747 A285162 A074381 * A341602 A128407 A363800

Adjacent sequences: A179557 A179558 A179559 * A179561 A179562 A179563

Keyword

base,cons,nonn

Author

Carl R. White, Jul 19 2010

Status

approved