OFFSET
1,1
EXAMPLE
Northwest corner:
2....5....8....11...14...17
5....4....7....10...13...16
8....7....6....9....12...15
11...10...9....8....11...14
14...13...12...11...10...13
MATHEMATICA
f[i_, j_] := Max[3 i - j, 3 j - i];
m[n_] := Table[f[i, j], {i, 1, n}, {j, 1, n}]
TableForm[m[8]] (* 8x8 principal submatrix *)
Flatten[Table[f[i, n + 1 - i],
{n, 1, 12}, {i, 1, n}]] (* A204237 *)
Table[Det[m[n]], {n, 1, 22}] (* A204238 *)
Permanent[m_] :=
With[{a = Array[x, Length[m]]},
Coefficient[Times @@ (m.a), Times @@ a]];
Table[Permanent[m[n]], {n, 1, 14}] (* A204239 *)
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Jan 13 2012
STATUS
approved