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Permanent of the n-th principal submatrix of A204433.
3

%I #10 May 05 2022 12:29:28

%S 0,4,9,16,192,1032,5184,62496,530712,4188672,61710336,707802624,

%T 7614259200,133983590400,1938416832000,26579819520000,544216485888000,

%U 9509523337728000,158654296829952000,3711395156281344000

%N Permanent of the n-th principal submatrix of A204433.

%t f[i_, j_] := Mod[2 i + 2 j + 2, 3];

%t m[n_] := Table[f[i, j], {i, 1, n}, {j, 1, n}]

%t TableForm[m[8]] (* 8x8 principal submatrix *)

%t Flatten[Table[f[i, n + 1 - i],

%t {n, 1, 14}, {i, 1, n}]] (* A204433 *)

%t Permanent[m_] :=

%t With[{a = Array[x, Length[m]]},

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

%t Table[Permanent[m[n]], {n, 1, 22}] (* A204434 *)

%Y Cf. A204233, A204263, A204433.

%K nonn

%O 1,2

%A _Clark Kimberling_, Jan 15 2012

%E Typo in definition corrected by _Georg Fischer_, May 05 2022

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Last modified September 21 17:58 EDT 2024. Contains 376087 sequences. (Running on oeis4.)