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A204264 Permanent of the n-th principal submatrix of A051125. 2
1, 1, 6, 81, 2004, 78745, 4509474, 354647965, 36682768168, 4828756380525, 788293972077550, 156301383568936265, 36999739721382614268, 10307298862866331060865, 3338015288607791489356218, 1243533799932150850942393845, 528053459248835561744374233168 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..16.

MAPLE

with(LinearAlgebra):

a:= n-> `if`(n=0, 1, Permanent(Matrix(n, ()-> max(args)))):

seq(a(n), n=0..16);  # Alois P. Heinz, Nov 14 2016

MATHEMATICA

f[i_, j_] := Max[i, j];

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}]]  (* A051125 *)

Permanent[m_] :=

  With[{a = Array[x, Length[m]]},

   Coefficient[Times @@ (m.a), Times @@ a]];

Table[Permanent[m[n]], {n, 1, 12}]    (* A204264 *)

CROSSREFS

Cf. A051125, A204262.

Sequence in context: A317277 A138457 A252821 * A076282 A121790 A279203

Adjacent sequences:  A204261 A204262 A204263 * A204265 A204266 A204267

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jan 14 2012

EXTENSIONS

a(0)=1 prepended and more terms added by Alois P. Heinz, Nov 14 2016

STATUS

approved

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Last modified November 30 22:59 EST 2021. Contains 349426 sequences. (Running on oeis4.)