@article{85b6b74c43074cbe8b06e1b5775eca25,
title = "Catalan and Motzkin numbers modulo 4 and 8",
abstract = "In this paper, we compute the congruences of Catalan and Motzkin numbers modulo 4 and 8. In particular, we prove the conjecture proposed by Deutsch and Sagan that no Motzkin number is a multiple of 8.",
author = "Eu, \{Sen Peng\} and Liu, \{Shu Chung\} and Yeh, \{Yeong Nan\}",
note = "Funding Information: The authors would like to thank Bruce Sagan for his valuable suggestions which led to a great improvement on the earlier version of this paper. S.-P. Eu was partially supported by NSC 95-2115-M-390-005. S.-C. Liu was partially supported by NSC 95-2115-M-163-002 and Y.-N. Yeh was partially supported by NSC 95-2115-M-001-009. ",
year = "2008",
month = aug,
doi = "10.1016/j.ejc.2007.06.019",
language = "English",
volume = "29",
pages = "1449--1466",
journal = "European Journal of Combinatorics",
issn = "0195-6698",
publisher = "Academic Press",
number = "6",
}