OFFSET
0,4
COMMENTS
The matrix M(n) is the n-th principal submatrix of the rectangular array A143979.
det(M(0)) = 1, det(M(2)) = -1, det(M(3)) = 2, and otherwise det(M(n)) = 0.
EXAMPLE
a(5) = 113224:
0 1 2 2 3
1 2 4 5 6
2 4 6 8 10
2 5 8 10 13
3 6 10 13 16
MATHEMATICA
a[n_]:=Permanent[Table[i*j-Ceiling[i*j/3], {i, n}, {j, n}]]; Join[{1}, Array[a, 16]]
PROG
(Python)
from fractions import Fraction
from sympy import Matrix
def A358163(n): return Matrix(n, n, [i*j-Fraction(i*j, 3).__ceil__() for i in range(1, n+1) for j in range(1, n+1)]).per() if n else 1 # Chai Wah Wu, Nov 02 2022
CROSSREFS
KEYWORD
nonn
AUTHOR
Stefano Spezia, Nov 01 2022
STATUS
approved