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

0,3

Comments

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

Links

Table of n, a(n) for n=0..14.

Example

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

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]]

Crossrefs

Cf. A057027, A057029.

Sequence in context: A285748 A184423 A064344 * A163046 A193381 A224539

Adjacent sequences: A373897 A373898 A373899 * A373901 A373902 A373903

Keyword

nonn

Author

Stefano Spezia, Sep 10 2024

Status

approved