OFFSET
0,3
LINKS
Andrew Howroyd, Table of n, a(n) for n = 0..50
EXAMPLE
The a(3) = 10 matrices:
[1 1] [1 1] [1 0] [0 1]
[1 0] [0 1] [1 1] [1 1]
.
[1 0 0] [1 0 0] [0 1 0] [0 1 0] [0 0 1] [0 0 1]
[0 1 0] [0 0 1] [1 0 0] [0 0 1] [1 0 0] [0 1 0]
[0 0 1] [0 1 0] [0 0 1] [1 0 0] [0 1 0] [1 0 0]
MATHEMATICA
prs2mat[prs_]:=Table[Count[prs, {i, j}], {i, Union[First/@prs]}, {j, Union[Last/@prs]}];
Table[Length[Select[Subsets[Tuples[Range[n], 2], {n}], And[Union[First/@#]==Range[Max@@First/@#], Union[Last/@#]==Range[Max@@Last/@#], UnsameQ@@prs2mat[#], UnsameQ@@Transpose[prs2mat[#]]]&]], {n, 6}]
PROG
(PARI) \\ Q(m, n, wf) defined in A321588.
seq(n)={my(R=vectorv(n, m, Q(m, n, w->1 + y^w + O(y*y^n)))); for(i=2, #R, R[i] -= i*R[i-1]); Vec(1 + vecsum(vecsum(R)))} \\ Andrew Howroyd, Jan 24 2024
CROSSREFS
KEYWORD
nonn
AUTHOR
Gus Wiseman, Nov 13 2018
EXTENSIONS
a(7) onwards from Andrew Howroyd, Jan 20 2024
STATUS
approved