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CLOSED FORM FORMULA FOR THE NUMBER OF RESTRICTED COMPOSITIONS

Published online by Cambridge University Press:  13 January 2010

GAŠPER JAKLIČ
Affiliation:
FMF and IMFM, University of Ljubljana, Jadranska 19, Ljubljana, Slovenia PINT, University of Primorska, Muzejski trg 2, Koper, Slovenia (email: gasper.jaklic@fmf.uni-lj.si)
VITO VITRIH
Affiliation:
PINT, University of Primorska, Muzejski trg 2, Koper, Slovenia (email: vito.vitrih@upr.si)
EMIL ŽAGAR
Affiliation:
FMF and IMFM, University of Ljubljana, Jadranska 19, Ljubljana, Slovenia (email: emil.zagar@fmf.uni-lj.si)
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Abstract

In this paper, compositions of a natural number are studied. The number of restricted compositions is given in a closed form, and some applications are presented.

MSC classification

Type
Research Article
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

References

[1]Farouki, R. T., Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable, Geometry and Computing, 1 (Springer, Berlin, 2008).CrossRefGoogle Scholar
[2]Flajolet, P. and Sedgewick, R., Analytic Combinatorics (Cambridge University Press, Cambridge, 2009).CrossRefGoogle Scholar
[3]Jaklič, G., Kozak, J., Krajnc, M. and Žagar, E., ‘On geometric interpolation by planar parametric polynomial curves’, Math. Comp. 76(260) (2007), 19811993.CrossRefGoogle Scholar
[4]Jaklič, G., Kozak, J., Krajnc, M. and Žagar, E., ‘On geometric interpolation of circle-like curves’, Comput. Aided Geom. Design 24(5) (2007), 241251.CrossRefGoogle Scholar
[5]Jaklič, G., Kozak, J., Krajnc, M., Vitrih, V. and Žagar, E., ‘Geometric Lagrange interpolation by planar cubic Pythagorean-hodograph curves’, Comput. Aided Geom. Design 25(9) (2008), 720728.CrossRefGoogle Scholar
[6]Sloan, N. J. A., The on-line encyclopedia of integer sequences (2008),http://www.research.att.com/∼njas/sequences.Google Scholar

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