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Investigating Special Binary Sequences with Some Computer Help

In: Applications of Fibonacci Numbers

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  • Daniel C. Fielder
  • Cecil O. Alford

Abstract

In this note, we study exclusively n-length binary sequences where at least one 1 is adjacent to (or touching) another 1. For brevity, we refer to them as “binary sequences with some touching 1’s.” They are not to be confused with n-length binary sequences where every 1 is adjacent to at least one other 1 [1]. We let C n denote the collection with unrestricted content, and we let D n denote the subset of C n with even content. (Content is defined as the number of 1’s in a binary sequence.)

Suggested Citation

  • Daniel C. Fielder & Cecil O. Alford, 1999. "Investigating Special Binary Sequences with Some Computer Help," Springer Books, in: Fredric T. Howard (ed.), Applications of Fibonacci Numbers, pages 121-128, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-4271-7_12
    DOI: 10.1007/978-94-011-4271-7_12
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