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A384079 a(n) = permanent of the n X n circulant matrix with (row 1) = (F(0), F(1), ..., F(n-1)), where F = A000045 (Fibonacci numbers).

%I A384079 #7 Jun 27 2025 21:57:00
%S A384079 1,0,1,2,34,877,70400,13131404,6425063793,7943767996608,
%T A384079 25443254098886314,210703114432644635021,4542702757904484984146944,
%U A384079 255390683442241619390980497544,37530368819103589103825830619476133,14431488687735756287625931644915850256384
%N A384079 a(n) = permanent of the n X n circulant matrix with (row 1) = (F(0), F(1), ..., F(n-1)), where F = A000045 (Fibonacci numbers).
%t A384079 z = 16;
%t A384079 v[n_] := Table[Fibonacci[k], {k, 0, n - 1}];
%t A384079 u[n_] := Table[RotateRight[#, k - 1], {k, 1, Length[#]}] &[v[n]]
%t A384079 Table[Simplify[Permanent[u[n]]], {n, 1, z}]
%Y A384079 Cf. A000045, A123744 (determinant), A384080.
%K A384079 nonn
%O A384079 0,4
%A A384079 _Clark Kimberling_, Jun 01 2025
%E A384079 a(0)=1 prepended by _Alois P. Heinz_, Jun 27 2025