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Counting Two-State Transition-Tour Sequences
November 1996 (vol. 45 no. 11)
pp. 1337-1342

Abstract—This paper develops a closed-form formula, f(k), to count the number of transition-tour sequences of length k for bistable machines. It is shown that the function f(k) is related to Fibonacci numbers. Some applications of the results in this paper are in the areas of testable sequential machine designs, random testing of register data paths, and qualification tests for random pattern generators.

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Index Terms:
Transition-tours, sequential machine testing, Fibonacci numbers, checking experiments, testable synthesis.
Nirmal R. Saxena, Edward J. McCluskey, "Counting Two-State Transition-Tour Sequences," IEEE Transactions on Computers, vol. 45, no. 11, pp. 1337-1342, Nov. 1996, doi:10.1109/12.544493
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