Generate binomial table

Version 1.2.0.0 (1,62 KB) von David Holdaway
Very simple function to generate a table of all possible binomial coefficients below a cut off
5.0
(1)
227 Downloads
Aktualisiert 17. Jan 2012

Lizenz anzeigen

Uses a recursion relation to generate all the binomial coefficients nchoosek(n,k) for a range n<=nmax, k<= n. This is much faster than using nchoosek to make this table.

The idea of this function is to be used when you have to evaluate large sums involving binomial coefficients, generating this table and sampling it would be much quicker than generating elements on the fly.

For this reason there is an inbuilt option that if the function is given two parameters it will generate a table of log(nchoosek) which is useful if it appears in summations where nchoosek may evaluate to inf.

Zitieren als

David Holdaway (2024). Generate binomial table (https://www.mathworks.com/matlabcentral/fileexchange/34181-generate-binomial-table), MATLAB Central File Exchange. Abgerufen .

Kompatibilität der MATLAB-Version
Erstellt mit R2011b
Kompatibel mit allen Versionen
Plattform-Kompatibilität
Windows macOS Linux

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Version Veröffentlicht Versionshinweise
1.2.0.0

Edit: Modified recursion relation used to [n choose k] = [(n-1) choose k-1 ] + [n-1 choose k ] for ordinary table.

1.1.0.0

Edited normal recursion relation to be based on the sum [n choose k] = [(n-1) choose k-1 ] + [n choose k -1 ]
to avoid round errors

1.0.0.0