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].

1, 1, 12, 540, 75872, 20955144, 11384126656, 9651484407168, 13211097362836992, 25194877206154652160, 69640283454545443829760, 250781830072455488420118528, 1222842630390899923255269335040, 7431235824692236144506864480645120, 58351873068720341047993109561429852160

Offset: 0

Author

Stefano Spezia, Sep 10 2024

Keywords

• nonn

Comments

The matrix M(n) is singular for n = 2 and n > 3.

Examples

			a(4) = 75872:
  [1,  3,  5,  9]
  [2,  6,  8, 14]
  [4, 10, 12, 20]
  [7, 15, 17, 27]
		

Crossrefs

Cf. A057027, A057029.

Programs

Mathematica

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]]