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A373900 a(n) is the permanent of the n X n matrix M(n) whose generic element is given by M_{i,j} = A057027(i+j-1,j) with i,j in [n].

%I A373900 #52 Sep 11 2024 00:43:37
%S A373900 1,1,12,540,75872,20955144,11384126656,9651484407168,
%T A373900 13211097362836992,25194877206154652160,69640283454545443829760,
%U A373900 250781830072455488420118528,1222842630390899923255269335040,7431235824692236144506864480645120,58351873068720341047993109561429852160
%N A373900 a(n) is the permanent of the n X n matrix M(n) whose generic element is given by M_{i,j} = A057027(i+j-1,j) with i,j in [n].
%C A373900 The matrix M(n) is singular for n = 2 and n > 3.
%e A373900 a(4) = 75872:
%e A373900   [1,  3,  5,  9]
%e A373900   [2,  6,  8, 14]
%e A373900   [4, 10, 12, 20]
%e A373900   [7, 15, 17, 27]
%t A373900 A057027[n_, k_]:=(n^2 + (-1)^k*(n - k) + (3 + (-1)^k)/2)/2; a[n_]:=Permanent[Table[A057027[i+j-1,j],{i,n},{j,n}]]; Join[{1},Array[a,14]]
%Y A373900 Cf. A057027, A057029.
%K A373900 nonn
%O A373900 0,3
%A A373900 _Stefano Spezia_, Sep 10 2024