A385867 Permanent of n X n matrix A defined by A[i,j] = (i+j-1)! for 1 <= i,j <= n.

1, 1, 10, 2568, 32455296, 33171803873280, 4092783209652289536000, 85191758794180067056209100800000, 398579307845175105508944536142159544320000000, 538664594626853888213693114387037430238145253736448000000000, 262763300482667111090711396658972748636113942776939213363557171200000000000000

Offset: 0

Author

Vaclav Kotesovec, Aug 08 2025

Keywords

• nonn

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 0..29

Crossrefs

Cf. A059332.

Programs

Mathematica

Join[{1}, Table[Permanent[Table[(i + j - 1)!, {i, 1, n}, {j, 1, n}]], {n, 1, 10}]]

PARI

a(n) = {matpermanent(matrix(n, n, i, j, (i + j - 1)!))};
for(n=0, 10, print1(a(n), ", "))

Python

from math import factorial
from sympy import Matrix
def A385867(n): return Matrix(n, n, lambda i, j: factorial(i+j+1)).per() if n else 1 # Chai Wah Wu, Aug 09 2025