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A262281 a(n) = smallest nonnegative number, not a power of 2, that is not a substring of n in its binary representation. 3
3, 0, 3, 0, 3, 3, 5, 0, 3, 3, 3, 6, 5, 7, 5, 0, 3, 3, 3, 5, 3, 3, 7, 6, 5, 5, 7, 7, 5, 9, 5, 0, 3, 3, 3, 5, 3, 3, 5, 5, 3, 3, 3, 6, 7, 7, 9, 6, 5, 5, 5, 5, 7, 7, 7, 9, 5, 5, 9, 9, 5, 9, 5, 0, 3, 3, 3, 5, 3, 3, 5, 5, 3, 3, 3, 6, 5, 7, 5, 5, 3, 3, 3, 6, 3, 3, 7 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
Similar to A261922, but if the smallest missing number is a power of 2, ignore it and look at the next-smallest missing number.
This is like applying A261922 not to n itself but to n plus a very large power of 2. Suggested by considering A261416.
LINKS
EXAMPLE
For n = 13 = 1101_2, we can see 0, 11 (3), 101 (5), 110 (6), but not 111 (7), so a(13)=7.
CROSSREFS
See A262289 for the "positive" version.
Sequence in context: A141030 A221168 A194084 * A297871 A292130 A291971
KEYWORD
nonn,base
AUTHOR
N. J. A. Sloane, Sep 17 2015
EXTENSIONS
a(23)-a(86) from Hiroaki Yamanouchi, Sep 20 2015
STATUS
approved

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Last modified June 23 04:59 EDT 2024. Contains 373629 sequences. (Running on oeis4.)