Generate binomial table

Version 1.2.0.0 (1,62 ko) par David Holdaway
Very simple function to generate a table of all possible binomial coefficients below a cut off
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230 téléchargements
Mise à jour 17 jan. 2012

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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.

Citation pour cette source

David Holdaway (2026). Generate binomial table (https://fr.mathworks.com/matlabcentral/fileexchange/34181-generate-binomial-table), MATLAB Central File Exchange. Extrait(e) le .

Compatibilité avec les versions de MATLAB
Créé avec R2011b
Compatible avec toutes les versions
Plateformes compatibles
Windows macOS Linux
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Version Publié le Notes de version
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