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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

The distribution of crossings of chords joining pairs of $ 2n$ points on a circle


Author: John Riordan
Journal: Math. Comp. 29 (1975), 215-222
MSC: Primary 05A15
MathSciNet review: 0366686
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Abstract: This paper, in the first place, calls attention to an extraordinarily compact solution of the problem in the title, given (a trifle hidden) in the work of the late Jacques Touchard. Its main weight, however, is on properties of the several kinds of number sequences appearing.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1975-0366686-9
PII: S 0025-5718(1975)0366686-9
Keywords: Catalan, ballot numbers (numbers of Delannoy), generating functions, recurrence, number sequences
Article copyright: © Copyright 1975 American Mathematical Society