Note on the combinatorial formula for nHr
- 1 November 1972
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 14 (3) , 264-268
- https://doi.org/10.1017/s1446788700010727
Abstract
nHr denotes the number of n × n matrices with non-negative integral entries, with row-sums and column-sums all equal to r. Kenji Mano [3] investigated the number nHr in which n distinct objects each replicated r times can be distributed in equal numbers among n cells. He gives an intricate formula for the case r = 2. Recently, Anand et al. [1], making use of partitions, extended it to 3Hr and stated a plausible formula for nHr.Keywords
This publication has 2 references indexed in Scilit:
- A combinatorial distribution problemDuke Mathematical Journal, 1966
- TABLES OF SYMMETRIC FUNCTIONS. PART IVBiometrika, 1953