A368352 - OEIS

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A368352

a(n) is the maximal determinant of an n X n Hankel matrix using the integers 1 to 2*n - 1.

3

1, 1, 5, 42, 2294, 71753, 2737409, 114381074

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..7.

Lucas A. Brown, Python program.

Wikipedia, Hankel matrix.

EXAMPLE

a(2) = 5:

3, 1;

1, 2.

a(3) = 42:

2, 5, 3;

5, 3, 4;

3, 4, 1.

a(4) = 2294:

2, 3, 6, 7;

3, 6, 7, 1;

6, 7, 1, 5;

7, 1, 5, 4.

CROSSREFS

Cf. A350931 (maximal absolute value), A368351 (minimal).

Cf. A350937 (minimal permanent), A350938 (maximal permanent).

Sequence in context: A216334 A374067 A350930 * A132487 A178614 A360942

Adjacent sequences: A368349 A368350 A368351 * A368353 A368354 A368355

KEYWORD

nonn,hard,more

AUTHOR

Stefano Spezia, Dec 22 2023

EXTENSIONS

a(6)-a(7) from Lucas A. Brown, Aug 26 2024

STATUS

approved