Geodesic
A Note on Combinations
Canadian mathematical bulletin, Tome 9 (1966) no. 5, pp. 675-677

Voir la notice de l'article provenant de la source Cambridge University Press

We call k integers x1 < x2 ... < xk chosen from 1, 2, ..., n} a k-choice (combination) from n. With 1, 2, ..., n arranged in a circle, so that 1 and n are consecutive, we have a circular k-choice from n. A part of a k-choice from n is a sequence of consecutive integers not contained in a longer one. Let denote the number of circular k-choices from n with exactly r parts all ≤ w. 
Abramson, M.; Moser, W. A Note on Combinations. Canadian mathematical bulletin, Tome 9 (1966) no. 5, pp. 675-677. doi: 10.4153/CMB-1966-082-5
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[2] 2. Abramson, M. and Moser, W., Combinations, successions and the n-kings problem. Math. Mag. Google Scholar

[3] 3. Riordan, J., Permutations without 3-sequences. Bull. Amer. Math. Soc. 51 (1945) 745-48. Google Scholar

[4] 4. Riordan, J., An Introduction to Combinatorial Analysis. New York, 1958. Google Scholar

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