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- W2218514107 abstract "The Delannoy numberD(h,k)=∑j=0h(kj)(h+k−jk) counts all lattice paths from (0,0) to (h,k) by using the steps (1,0), (0,1) and (1,1). Define the q-Delannoy numberDq(h,k)=∑j=0hq(j+12)[kj]q[h+k−jk]q. Using a combinatorial interpretation of Dq(h,k) based on the area statistics, we prove a Lucas-type congruence for the q-Delannoy numbers." @default.
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- W2218514107 date "2023-04-01" @default.
- W2218514107 modified "2023-09-23" @default.
- W2218514107 title "A Lucas-type congruence for q-Delannoy numbers" @default.
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- W2218514107 doi "https://doi.org/10.1016/j.disc.2022.113260" @default.
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