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CLOSED FORM FORMULA FOR THE NUMBER OF RESTRICTED COMPOSITIONS

  • GAŠPER JAKLIČ (a1) (a2), VITO VITRIH (a3) and EMIL ŽAGAR (a4)
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.

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Copyright
Corresponding author
For correspondence; e-mail: vito.vitrih@upr.si
References
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[1]Farouki, R. T., Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable, Geometry and Computing, 1 (Springer, Berlin, 2008).
[2]Flajolet, P. and Sedgewick, R., Analytic Combinatorics (Cambridge University Press, Cambridge, 2009).
[3]Jaklič, G., Kozak, J., Krajnc, M. and Žagar, E., ‘On geometric interpolation by planar parametric polynomial curves’, Math. Comp. 76(260) (2007), 19811993.
[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.
[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.
[6]Sloan, N. J. A., The on-line encyclopedia of integer sequences (2008),http://www.research.att.com/∼njas/sequences.
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Bulletin of the Australian Mathematical Society
  • ISSN: 0004-9727
  • EISSN: 1755-1633
  • URL: /core/journals/bulletin-of-the-australian-mathematical-society
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