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Enumeration of words by the sum of differences between adjacent letters
Abstract : We consider the sum u of differences between adjacent letters of a word of n letters, chosen uniformly at random from a given alphabet. This paper obtains the enumerating generating function for the number of such words with respect to the sum u, as well as explicit formulas for the mean and variance of u.
Cited literature [15 references]
https://hal.inria.fr/hal-00988177
Contributor : Service Ist Inria Sophia Antipolis-Méditerranée / I3s <>
Submitted on : Wednesday, May 7, 2014 - 3:36:37 PM
Last modification on : Wednesday, November 29, 2017 - 10:26:24 AM
Long-term archiving on: : Thursday, August 7, 2014 - 11:31:04 AM
Contributor : Service Ist Inria Sophia Antipolis-Méditerranée / I3s <>
Submitted on : Wednesday, May 7, 2014 - 3:36:37 PM
Last modification on : Wednesday, November 29, 2017 - 10:26:24 AM
Long-term archiving on: : Thursday, August 7, 2014 - 11:31:04 AM
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705-4189-2-PB.pdf
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