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A381160 a(n) is the permanent of the n X n matrix whose element (i,j) is equal to A008277(i+3, j) with 1 <= i,j <= n.

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%I A381160 #11 Feb 16 2025 05:40:27
%S A381160 1,1,22,3206,1902936,3504528354,16660734321540,179059038168086056,
%T A381160 3938830136216956996632,164125096331945477980176920,
%U A381160 12173562237817299484378342192768,1527294306324982018922212102518520032,310564445230567070838152555220146533261496,98712056006032672983172826864304778359411112064
%N A381160 a(n) is the permanent of the n X n matrix whose element (i,j) is equal to A008277(i+3, j) with 1 <= i,j <= n.
%e A381160 a(3) = 3206:
%e A381160   [1,  7,  6]
%e A381160   [1, 15, 25]
%e A381160   [1, 31, 90]
%t A381160 a[n_]:=Permanent[Table[StirlingS2[i+3,j],{i,n},{j,n}]]; Join[{1},Array[a,13]]
%o A381160 (PARI) a(n) = matpermanent(matrix(n, n, i, j, stirling(i+3,j,2))); \\ _Michel Marcus_, Feb 16 2025
%Y A381160 Cf. A000442 (determinant), A008277, A381166.
%K A381160 nonn
%O A381160 0,3
%A A381160 _Stefano Spezia_, Feb 15 2025