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A092415
Determinant of the n X n matrix with entries (X+Y)^n.
1
1, 2, -17, -2016, 6941952, 1183818240000, -15226366699929600000, -20905103969704791244800000000, 4118415008134762062658292598964224000000, 150638206504104123857462570135784635511078912000000000
OFFSET
0,2
LINKS
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
KEYWORD
sign
AUTHOR
Jon Perry, Mar 22 2004
STATUS
approved