Giuseppe Scollo. An integration of Euler's pentagonal partition
Submitted on: Jun 15, 2012, 09:22:00
Natural Sciences / Mathematics / Combinatorics
Description: A recurrent formula is presented, for the enumeration of the compositions of positive integers as sums over multisets of positive integers, that closely resembles Euler's recurrence based on the pentagonal numbers, but where the coefficients result from a discrete integration of Euler's coefficients. Both a bijective proof and one based on generating functions show the equivalence of the subject recurrences.
The abstract of this article has been published in the "Intellectual Archive Bulletin" , June 2012, ISSN 1929-1329.
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