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An Application of a Generalization of Terquem's Problem

Published online by Cambridge University Press:  20 November 2018

Stephen M. Tanny*
Affiliation:
Department of Mathematics, University of Toronto
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Moser and Abramson [4] proved: given m≥2 and 0≤kl, k2, …, kp<m, the number of p-combinations

satisfying

is

1

([x] denotes the greatest integer ≤x).

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Church, C.A. and Gould, H.W., Problem ofTerquem and an extension of Fibonacci numbers, Fibonacci Quarterly 5, (1967), pp. 59-68.Google Scholar
2. Hering, F., A problem on inequalities Am. Math. Monthly, vol. 78, no. 3, March (1971), pp. 275-276.Google Scholar
3. Hering, F., A generalization of the arithmetic-geometric mean inequality and an application to finite sequences of zeros and ones, Israel J. of Math., Vol. II, no. 1 (1972), pp. 14-30.Google Scholar
4. Moser, W. O. J. and Morton, Abramson, Generalizations of Terquem's Problem, J. of Comb. Theory, vol. 7, no. 2, Sept. (1969) pp. 171-180.Google Scholar
5. Riordan, J., An Introduction to Combinatorial Analysis, Wiley, New York, 1958.Google Scholar
6. Tanny, S.M., On alternating subsets of integers, Fibonacci Quarterly (to appear).Google Scholar
7. Tanny, S.M., Generating functions and generalized alternating subsets, Discrete Math, (to appear).Google Scholar
8. quern, O.Ter, Sur un symbole combinatoire d’euler et son utilité dans l'analyse, J. Math. Pures Appl. 4 (1839), pp. 177-184.Google Scholar