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 A204247 Determinant of the n-th principal submatrix of A204246. 3
 1, 0, -1, -8, -204, -24768, -17867520, -90077184000, -3632037470208000, -1317998813773824000000, -4782755930355924782284800000, -190912318579437962454242426880000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 LINKS 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 Cf. A204246, A203227. Sequence in context: A309904 A241224 A259065 * A063856 A090962 A330287 Adjacent sequences:  A204244 A204245 A204246 * A204248 A204249 A204250 KEYWORD sign AUTHOR Clark Kimberling, Jan 13 2012 STATUS approved

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Last modified July 28 06:08 EDT 2021. Contains 346317 sequences. (Running on oeis4.)