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A175808 n-th term is the length of a shortest common superstring of the binary representations of all natural numbers from 1 to n. 0
1, 2, 3, 4, 6, 6, 7, 8, 11, 11, 13, 13, 14, 14, 15, 16, 20, 20, 23, 23, 25, 25 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..22.

FORMULA

a(5)=6 because 6 is the length of 110100 or 101100, which are the 2 possible shortest common superstrings of 1,10,11,100,101.

CROSSREFS

Sequence in context: A106006 A050460 A246594 * A163380 A233569 A246593

Adjacent sequences:  A175805 A175806 A175807 * A175809 A175810 A175811

KEYWORD

nonn,base

AUTHOR

Vladimir Reshetnikov, Sep 08 2010

STATUS

approved

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Last modified December 22 18:48 EST 2014. Contains 252365 sequences.