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A Note on the Compositions of an Integer

Published online by Cambridge University Press:  20 November 2018

T. V. Narayana  and
G. E. Fulton
T. V. Narayana
Affiliation:
McGill University
G. E. Fulton
Affiliation:
McGill University
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Given an integer n, we define an r-composition of n as follows:

An r-composition of n, (t1, ... , tr), is a set of ti where ti ≥ 1 is an integer for i = 1, ... , r such that

If r is an integer such that 1 ≤ r ≤ n, we have, obviously, distinct r - compositions of n.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 1 , Issue 3 , 01 September 1958 , pp. 169 - 173
Copyright
Copyright © Canadian Mathematical Society 1958

References

Narayana, T.V., C.R. Acad. Sci. Paris, (1955), 1188-1189.Google Scholar
Bush, L.E., Amer. Math. Monthly, G4 (1957), 649-654.Google Scholar