A092415 Determinant of the n X n matrix with entries (X+Y)^n.

1, 2, -17, -2016, 6941952, 1183818240000, -15226366699929600000, -20905103969704791244800000000, 4118415008134762062658292598964224000000, 150638206504104123857462570135784635511078912000000000

Offset

0,2

Links

Robert Israel, Table of n, a(n) for n = 0..30

Example

For n = 3:
  [2^3, 3^3, 4^3]
  [3^3, 4^3, 5^3]
  [4^3, 5^3, 6^3]
     =
  [8,27,64]
  [27,64,125]
  [64,125,216]
with determinant: -2016.

Maple

f:= n -> LinearAlgebra:-Determinant(Matrix(n, n, (i, j) -> (i+j)^n)):
map(f, [$0..12]); # Robert Israel, Dec 10 2023

Prog

(PARI) for(j=0, 15, m=matrix(j, j, X, Y, (X+Y)^j); print1(matdet(m), ", "))

Crossrefs

Sequence in context: A060835 A122054 A284706 * A274053 A221207 A274015

Adjacent sequences: A092412 A092413 A092414 * A092416 A092417 A092418

Keyword

sign

Author

Jon Perry, Mar 22 2004

Status

approved