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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
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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
LINKS
Table of n, a(n) for n=0..7.
Lucas A. Brown,
A350937+8.sage
Wikipedia,
Toeplitz matrix
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
Adjacent sequences:
A350935
A350936
A350937
*
A350939
A350940
A350941
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