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Some computations for m-dimensional partitions

Published online by Cambridge University Press:  24 October 2008

A. O. L. Atkin ,
P. Bratley ,
I. G. Macdonald  and
J. K. S. McKay
A. O. L. Atkin
Affiliation:
The Atlas Computer Laboratory, Chilton, Didcot; University of Edinburgh; Magdalen College, Oxford; University of Edinburgh
P. Bratley
Affiliation:
The Atlas Computer Laboratory, Chilton, Didcot; University of Edinburgh; Magdalen College, Oxford; University of Edinburgh
I. G. Macdonald
Affiliation:
The Atlas Computer Laboratory, Chilton, Didcot; University of Edinburgh; Magdalen College, Oxford; University of Edinburgh
J. K. S. McKay
Affiliation:
The Atlas Computer Laboratory, Chilton, Didcot; University of Edinburgh; Magdalen College, Oxford; University of Edinburgh
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Extract

1. It was known to Euler that p(n), the number of unrestricted partitions of n into non-increasing integral parts, is generated by

with the usual convention that p(0) = 1.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 4 , October 1967 , pp. 1097 - 1100
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

REFERENCES

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(6)Bratley, P. & McKay, J. K. S.A multi-dimensional partition generator. Algorithm 313, Comm. ACM 10 (1967).Google Scholar