in reply to (OT) A different kind of 'combinatorics'

It seems that De Bruijn sequences are what you are searching for. Wikipedia even lists an algorithm, albeit in Python.

Update: As I assume that this is somewhat related to your quest of finding a misaligned sequence, you might be interested in the section "De Bruijn decoding", which hints at specially constructed sequences that can be mapped back to the position/offset in O(n log(n)) if you can't use a lookup table to convert the sequence value back to an offset.

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Re^2: (OT) A different kind of 'combinatorics'
by BrowserUk (Patriarch) on Mar 26, 2015 at 15:37 UTC
    It seems that De Bruijn sequences are what you are searching for.

    Yes. Thankyou!

    As I assume that this is somewhat related to your quest of finding a misaligned sequence, you might be interested in the section "De Bruijn decoding", which hints at specially constructed sequences that can be mapped back to the position/offset in O(n log(n)) if you can't use a lookup table to convert the sequence value back to an offset.

    Yes. I'm looking for a testing strategy to ensure that all patterns that can be found are.

    And the "De Bruijn decoding" looks very interesting. Thanks again.

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