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A368351
a(n) is the minimal determinant of an n X n Hankel matrix using the integers 1 to 2*n - 1.
4
1, 1, -7, -105, -1810, -48098, -3051554, -175457984
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OFFSET
0,3
LINKS
Table of n, a(n) for n=0..7.
Lucas A. Brown,
Python program
.
Wikipedia,
Hankel matrix
.
EXAMPLE
a(2) = -7:
2, 3;
3, 1.
a(3) = -105:
2, 4, 5;
4, 5, 1;
5, 1, 3.
a(4) = -1810:
4, 3, 7, 1;
3, 7, 1, 2;
7, 1, 2, 5;
1, 2, 5, 6.
CROSSREFS
Cf.
A350931
(maximal absolute value),
A368352
(maximal).
Cf.
A350937
(minimal permanent),
A350938
(maximal permanent).
Sequence in context:
A139742
A120049
A067420
*
A358957
A131869
A132867
Adjacent sequences:
A368348
A368349
A368350
*
A368352
A368353
A368354
KEYWORD
sign
,
hard
,
more
AUTHOR
Stefano Spezia
, Dec 22 2023
EXTENSIONS
a(6)-a(7) from
Lucas A. Brown
, Aug 26 2024
STATUS
approved