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math.CO2013
Stabilization of coefficients for partition polynomials
Robert P. Boyer, William J. Keith
We find that a wide variety of families of partition statistics stabilize in a fashion similar to , the number of partitions of n with k parts, which satisfies $p_k(n) = p_…
math.CO2013
Congruences for 9-regular partitions modulo 3
William J. Keith
It is proved that the number of 9-regular partitions of n is divisible by 3 when n is congruent to 3 mod 4, and by 6 when n is congruent to 13 mod 16. An infinite family of congrue…
math.CO2013
Several graph sequences as solutions of a double recurrence
Christian Brouder, William J. Keith, Ângela Mestre
We describe the combinatorics that arise in summing a double recursion formula for the enumeration of connected Feynman graphs in quantum field theory. In one index the problem is…