JP Journal of Algebra, Number Theory and Applications
Volume 32, Issue 2, Pages 99 - 140
(March 2014)
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ON SUMS OF FIGURATE NUMBERS BY USING ALGORITHMS OF DIFFERENTIATION OF POSETS
AgustÃn Moreno Cañadas, Veronica Cifuentes Vargas and Pedro Fernando Fernandez Espinosa
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Abstract: We use techniques of the theory of algorithms of differentiation of posets and P-partitions to describe identities of some one-dimensional compositions involving polygonal and cubic numbers. We also describe with these techniques numbers which can be written as a sum of three square of numbers of a given shape or sequences of numbers which can be written as sums of three, four or five cubic numbers. |
Keywords and phrases: algorithm of differentiation, composition, cubic number, lattice path, linear extension, P-partition, polygonal number, poset, representation of posets. |
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