Skip to main content

Some decompositions of generalised Catalan numbers

Contributed Papers

Part of the Lecture Notes in Mathematics book series (LNM,volume 952)

Keywords

  • Cell Entry
  • Binomial Coefficient
  • Catalan Number
  • Side Entry
  • Ladder Graph

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. Erdelyi and L.M. Etherington, Some problems of non-associative combinations (2), Edinburgh Mathematical Notes 32 (1940) VII–XII.

    CrossRef  MathSciNet  Google Scholar 

  2. H.M. Finucan, Some elementary aspects of the Catalan numbers, Combinatorial Maths IV, Proc. Fourth Australian Conf., Lecture Notes in Maths 560, (Springer-Verlag, Berlin-Heidelberg-New York, 1977, 41–45).

    CrossRef  Google Scholar 

  3. H.G. Forder, Some problems in combinatorics, Math. Gazette 45 (1961) 199–201.

    CrossRef  MATH  Google Scholar 

  4. H.W. Gould, Research bibliography of two special number sequences. Math. Monongaliae (W.Va.Univ.) 12 (1971).

    Google Scholar 

  5. Johnson, N.L. & Kotz, S. Distributions in Statistics — Discrete Distributions (Boston, Houghton Mifflin Co., 1969, 158).

    MATH  Google Scholar 

  6. Patil, G.P. & Joshi, S.W. A Dictionary and Bibliography of Discrete Distributions (Edinburgh (I.S.I.) Oliver & Boyd, 1968, 34).

    Google Scholar 

  7. G.N. Raney, Functional composition patterns and power series reversion, Trans. Amer. Math. Soc. 94 (1960) 441–451.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. D.G. Rogers, The enumeration of a family of ladder graphs — Part I: connective relations, Quart. J. Math. Oxford (2) 28 (1977) 421–431.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. D.G. Rogers, Pascal triangles, Catalan numbers and renewal arrays, Discrete Mathematics 22 (1978) 301–310.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. A.D. Sands, On generalised Catalan numbers, Discrete Mathematics 21 (1978) 219–221.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. L.W. Shapiro, A Catalan triangle, Discrete Mathematics 14 (1976) 83–90.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. N.J.A. Sloane, A Handbook of Integer Sequences (Academic Press, New York, 1973).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Finucan, H.M. (1982). Some decompositions of generalised Catalan numbers. In: Billington, E.J., Oates-Williams, S., Street, A.P. (eds) Combinatorial Mathematics IX. Lecture Notes in Mathematics, vol 952. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061984

Download citation

  • DOI: https://doi.org/10.1007/BFb0061984

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11601-1

  • Online ISBN: 978-3-540-39375-7

  • eBook Packages: Springer Book Archive