... 33111 322 24 → 331 322 2411 → 331 324 221 1→ 3431 322 211 → 3431 322 211 ∈ [4]10(1 12) .(7)the electronic journal of combinatorics 9 (2) (20 02) , #R3 15 Corollary 16 For any p ≥ 0Fvp,0(x; 2) = expj=0xjj!.Proof. ... 121 }, {1 12, 121 }, {1 12, 122 }, {1 12, 21 1}, {1 12, 21 2}, {1 12, 22 1}, { 121 , 21 2}.Theorem 5 The pairs {111, 1 12} and {111, 121 } are Wilf equivalent, andF111, 121 (x, y) = F111,1 12 (x, y) =e−x1 ... from definition that there are nf1 12, 121 ,21 1(n − 1, k − 1) andf1 12, 121 ,21 1(n, k − 1) such α, respectively. Hence,f1 12, 121 ,21 1(n, k) = f1 12, 121 ,21 1(n, k − 1) + nf1 12, 121 ,21 1(n − 1, k −...