A333738 Number of non-isomorphic n X n nonnegative integer symmetric matrices with all row and column sums equal to n up to permutations of rows and columns.
1, 1, 2, 5, 33, 556, 31781, 5882230, 3589936407, 7347418294141, 51304793433150418, 1240428029662246026001, 105148289475978338858008298, 31582581551955332317665959184087
Offset: 0
Examples
The a(3) = 5 matrices are: [0, 0, 3] [0, 1, 2] [0, 1, 2] [1, 0, 2] [1, 1, 1] [0, 3, 0] [1, 1, 1] [1, 2, 0] [0, 3, 0] [1, 1, 1] [3, 0, 0] [2, 1, 0] [2, 0, 1] [2, 0, 1] [1, 1, 1]
Crossrefs
Main diagonal of A333737.