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26 Combinatorial AnalysisComputation

§26.21 Tables

Abramowitz and Stegun (1964, Chapter 24) tabulates binomial coefficients \genfrac{(}{)}{0.0pt}{}{m}{n} for m up to 50 and n up to 25; extends Table 26.4.1 to n=10; tabulates Stirling numbers of the first and second kinds, s\left(n,k\right) and S\left(n,k\right), for n up to 25 and k up to n; tabulates partitions p\left(n\right) and partitions into distinct parts p\left(\mathcal{D},n\right) for n up to 500.

Andrews (1976) contains tables of the number of unrestricted partitions, partitions into odd parts, partitions into parts \not\equiv\pm 2\pmod{5}, partitions into parts \not\equiv\pm 1\pmod{5}, and unrestricted plane partitions up to 100. It also contains a table of Gaussian polynomials up to \genfrac{[}{]}{0.0pt}{}{12}{6}_{q}.

Goldberg et al. (1976) contains tables of binomial coefficients to n=100 and Stirling numbers to n=40.