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A350938
Maximal permanent of an n X n Toeplitz matrix using the integers 1 to 2*n - 1.
9
1, 1, 11, 296, 14502, 1153889, 134713213, 21788125930
OFFSET
0,3
COMMENTS
Also maximal permanent of an n X n Hankel matrix using the integers 1 to 2*n - 1. - Stefano Spezia, Dec 22 2023
EXAMPLE
a(2) = 11:
3 1
2 3
a(3) = 296:
5 3 2
4 5 3
1 4 5
PROG
(Python)
from itertools import permutations
from sympy import Matrix
def A350938(n): return 1 if n == 0 else max(Matrix([p[n-1-i:2*n-1-i] for i in range(n)]).per() for p in permutations(range(1, 2*n))) # Chai Wah Wu, Jan 27 2022
CROSSREFS
Cf. A322908, A323254, A350931, A350937 (minimal).
Sequence in context: A362504 A133515 A258191 * A165390 A213256 A067424
KEYWORD
nonn,hard,more
AUTHOR
Stefano Spezia, Jan 26 2022
EXTENSIONS
a(5) from Alois P. Heinz, Jan 26 2022
a(6) from Lucas A. Brown, Sep 04 2022
a(7) from Giovanni Resta, Oct 13 2022
STATUS
approved