A method for determining the mod-pk behaviour of
We present a method for obtaining congruences modulo powers of a
prime number p for combinatorial sequences whose generating
function satisfies an algebraic differential equation.
This method generalises the one by Kauers and the authors
[Electron. J. Combin. 18(2) (2012), Art. P37]
from p=2 to arbitrary primes. Our applications include
congruences for numbers of non-crossing graphs and numbers
of Kreweras walks modulo powers of 3, as well as congruences
for Fuß-Catalan numbers and blossom tree numbers modulo
powers of arbitrary primes.
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