A119527 Determinant of n X n matrix of first n^2 partition numbers (A000041).

1, 1, -4, 40, -17570, 29277, 1612051490, -98797189506, 24519692392546611, -1102715711997300050, -4167252029989605007510429722, -29479989614260596083347544, 4174157347638693670019191622559426971168, 139672908285735171626083209102943170111074

Offset: 1

Author

Jonathan Vos Post, May 27 2006

Keywords

• easy
• sign

Examples

			a(3) = -4 =
|.1..1..2|
|.3..5..7|
|11.15.22|.
		

Crossrefs

Cf. A000041, A119493.

Programs

Mathematica

nmax = 15; Table[Det[Table[PartitionsP[k*(i-1) + j-1], {i, 1, k}, {j, 1, k}]], {k, 1, nmax}] (* Vaclav Kotesovec, Feb 24 2019 *)

Extensions

More terms from Vaclav Kotesovec, Feb 24 2019