Enumeration of rectangular arrays of zeros and ones |
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Authors: | Margaret J Hodel |
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Institution: | Department of Mathematics, Duke University, Durham, NC 27706, U.S.A. |
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Abstract: | For r=1,2 the rectangular arrays of zeros and ones with r rows and n columns, with mi zeros and ri changes in the ith row, and with si vertical changes between the ith and (i+1)st rows, i=1,…,r-1, are enumerated. The number of arrays of zeros and ones with 3 rows and n columns, with ri changes in the ith row, i=1,2,3, and with si vertical changes between the ith and (i+1)st rows, i=1,2, is also determined. |
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