The distribution of ascents of size d or more in compositions
2009 ◽
Vol Vol. 11 no. 1
(Combinatorics)
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Keyword(s):
The Mean
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Combinatorics International audience A composition of a positive integer n is a finite sequence of positive integers a(1), a(2), ..., a(k) such that a(1) + a(2) + ... + a(k) = n. Let d be a fixed nonnegative integer. We say that we have an ascent of size d or more if a(i+1) >= a(i) + d. We determine the mean, variance and limiting distribution of the number of ascents of size d or more in the set of compositions of n. We also study the average size of the greatest ascent over all compositions of n.
2006 ◽
Vol DMTCS Proceedings vol. AG,...
(Proceedings)
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Keyword(s):
2012 ◽
Vol DMTCS Proceedings vol. AQ,...
(Proceedings)
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Keyword(s):
2009 ◽
Vol DMTCS Proceedings vol. AK,...
(Proceedings)
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2015 ◽
Vol DMTCS Proceedings, 27th...
(Proceedings)
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2006 ◽
Vol 16
(4)
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pp. 2195-2214
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2014 ◽
Vol Vol. 16 no. 1
(Combinatorics)
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