author = {Manuel Kauers and Christian Krattenthaler and Thomas W. Mueller},
title = {{A method for determining the mod-$2^k$ behaviour of recursive sequences, with applications to subgroup counting}},
language = {english},
abstract = {We present a method to obtain congruences modulo powers of $2$ for sequences given by recurrences of finite depth with polynomial coefficients. We apply this method to Catalan numbers, Fu\ss--Catalan numbers, and to subgroup counting functions associated with Hecke groups and their lifts. This leads to numerous new results, including many extensions of known results to higher powers of $2$. },
journal = {Electronic Journal of Combinatorics},
volume = {18},
number = {2},
pages = {1--76},
isbn_issn = {1077-8926},
year = {2012},
note = {P37},
refereed = {yes},
length = {76}