OFFSET
1,4
MATHEMATICA
f[i_, j_] := 0; f[1, j_] := 1;
f[i_, 1] := 1; f[i_, i_] := (i - 1)!;
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}]] (* A204246 *)
Table[Det[m[n]], {n, 1, 15}] (* A204247 *)
Permanent[m_] :=
With[{a = Array[x, Length[m]]},
Coefficient[Times @@ (m.a), Times @@ a]];
Table[Permanent[m[n]], {n, 1, 14}] (* A203227 *)
PROG
(PARI) A204247(n)=matdet(matrix(n, n, i, j, if(min(i, j)==1, 1, if(i==j, (i-1)!)))) \\ M. F. Hasler, Jan 13 2012
CROSSREFS
KEYWORD
sign
AUTHOR
Clark Kimberling, Jan 13 2012
STATUS
approved