Partitioning integers in n dimensions
Open Access
- 1 January 1970
- journal article
- Published by Oxford University Press (OUP) in The Computer Journal
- Vol. 13 (3) , 278-283
- https://doi.org/10.1093/comjnl/13.3.278
Abstract
In one dimension, it is possible to partition an integer N into 2N−1 ordered sets of non-zero integers. Likewise we can partition an integer N into exactly K non-negative integers in [equation: see PDF] ways. In the present paper, for particular cases in 2 and 3 dimensions, we obtain exact values (many by counting) of partitions into matrices of non-negative integers. Some implications and formulae are obtained or conjectured.Keywords
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