Triangular array of A(n,k) for n>=1 and 0<=k<=n^2 equal the number of permutations of the set {1,2,...,n}^2 such that first coordinates of first k elements are nondecreasing and second coordinates of the remaining n^2-k elements are nondecreasing.

A261602

Triangular array of A(n,k) for n>=1 and 0<=k<=n^2 equal the number of permutations of the set {1,2,...,n}^2 such that first coordinates of first k elements are nondecreasing and second coordinates of the remaining n^2-k elements are nondecreasing.

Terms

    a(0) =1a(1) =1a(2) =4a(3) =8a(4) =10a(5) =8a(6) =4a(7) =216a(8) =648a(9) =1188a(10) =1668a(11) =1944a(12) =1944a(13) =1668a(14) =1188a(15) =648a(16) =216a(17) =331776a(18) =1327104a(19) =3151872a(20) =5695488a(21) =8608896a(22) =11446272a(23) =13791744a(24) =15326208a(25) =15858432a(26) =15326208a(27) =13791744a(28) =11446272a(29) =8608896

External references