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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

Table of n, a(n) for n=1..12.

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.)