A377063 Array read by antidiagonals: T(n,k) is the number of {-1,0,1} n X k matrices with all rows and columns summing to zero up to permutations of rows.
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 4, 2, 1, 1, 1, 1, 10, 6, 3, 1, 1, 1, 1, 26, 30, 12, 3, 1, 1, 1, 1, 71, 166, 117, 18, 4, 1, 1, 1, 1, 197, 981, 1421, 345, 30, 4, 1, 1, 1, 1, 554, 5937, 20326, 9691, 1042, 42, 5, 1, 1, 1, 1, 1570, 36646, 307063, 336596, 63076, 2746, 63, 5, 1, 1
Offset: 0
Examples
Array begins: =================================================== n\k | 0 1 2 3 4 5 6 7 ... ----+---------------------------------------------- 0 | 1 1 1 1 1 1 1 1 ... 1 | 1 1 1 1 1 1 1 1 ... 2 | 1 1 2 4 10 26 71 197 ... 3 | 1 1 2 6 30 166 981 5937 ... 4 | 1 1 3 12 117 1421 20326 307063 ... 5 | 1 1 3 18 345 9691 336596 12650093 ... 6 | 1 1 4 30 1042 63076 5328136 506525279 ... 7 | 1 1 4 42 2746 369036 76292516 18490880339 ... ...
Links
- Andrew Howroyd, Table of n, a(n) for n = 0..434 (first 29 antidiagonals)
Comments