Generate binomial table

Versión 1.2.0.0 (1,62 KB) por David Holdaway
Very simple function to generate a table of all possible binomial coefficients below a cut off
5.0
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227 descargas
Actualizado 17 ene 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.

Citar como

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

Compatibilidad con la versión de MATLAB
Se creó con R2011b
Compatible con cualquier versión
Compatibilidad con las plataformas
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Versión Publicado Notas de la versión
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