9772
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Narayana Numbers
The Narayana numbers
count the number of paths through a square lattice from
to
that take only steps northeast and southeast, never pass below the
axis, and contain
peaks. The sum of the Narayana numbers
over
is equal to the Catalan number
.
Contributed by:
Robert Dickau
SNAPSHOTS
RELATED LINKS
Catalan Number
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Narayana Numbers
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/NarayanaNumbers/
Contributed by:
Robert Dickau
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Stairstep Interpretation of Catalan Numbers
Robert Dickau
Catalan Number Trees
Robert Dickau
Lah Numbers
Robert Dickau
Euler Zigzag Numbers
Robert Dickau
Equivalence of Three Catalan Number Interpretations
Robert Dickau
Stirling Numbers of the First Kind
Robert Dickau
Stirling Numbers of the Second Kind
Robert Dickau
Bell Number Diagrams
Robert Dickau
Stirling Numbers of the Second Kind and Nonattacking Rooks
Robert Dickau
Schröder Number Diagrams
Robert Dickau
Related Topics
Combinatorics
Discrete Mathematics
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+