Fast and Simple Modular Interpolation Using Factorial Representation

2016 ◽  
Vol 123 (5) ◽  
pp. 471
Author(s):  
G. L. Mullen ◽  
D. Panario ◽  
D. Thomson
10.37236/7092 ◽  
2018 ◽  
Vol 25 (1) ◽  
Author(s):  
Ying Wang ◽  
Guoce Xin

The well-known Motzkin numbers were conjectured by Deutsch and Sagan to be nonzero when modulo $8$. The conjecture was first proved by Sen-Peng Eu, Shu-chung Liu and Yeong-Nan Yeh by using the factorial representation of the Catalan numbers. We present a short proof by finding a recursive formula for Motzkin numbers modulo $8$. Moreover, such a recursion leads to a full classification of Motzkin numbers modulo $8$. An addendum was added on April 3 2018.


IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 21032-21047 ◽  
Author(s):  
Fuqing Zhao ◽  
Feilong Xue ◽  
Guoqiang Yang ◽  
Weimin Ma ◽  
Chuck Zhang ◽  
...  

2003 ◽  
Vol 13 (3) ◽  
pp. 371-376 ◽  
Author(s):  
Su-Jeong Han ◽  
Keun-Chang Kwak ◽  
Hyoun-Joo Go ◽  
Sung-Suk Kim ◽  
Myung-Geun Chun

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