JP Journal of Algebra, Number Theory and Applications
Volume 17, Issue 2, Pages 173 - 208
(June 2010)
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ON PARTITIONS INTO FIGURATE NUMBERS AND COMPOSITIONS OF MULTIPARTITE NUMBERS
Agustín Moreno C and Alexis Irlande
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Abstract: We use some P-partitions and the ordinary graph induced by the covering relation of the poset P in order to obtain formulas for the number of some restricted partitions of an ordered r-tuple of positive integers into vectors whose coordinates are polygonal numbers of a given shape. In particular, we find formulas for the number of partitions of a positive integer into three octahedral numbers. |
Keywords and phrases: composition, graph, octahedral number, partition, P-partition, polygonal number, path, poset. |
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