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A179560
Number whose continued fraction is a run-length encoding of its own binary representation (in binary).
2
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
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
KEYWORD
base,cons,nonn
AUTHOR
Carl R. White, Jul 19 2010
STATUS
approved