OFFSET
0,2
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..300
FORMULA
Conjecture: a(n) = (-1)^(n+floor(n/2))*Res(f(n) , x^n - 1), where Res is the resultant, and f(n)=Sum_{k=1..n} prime(k)*x^k. - Benedict W. J. Irwin, Dec 07 2016
EXAMPLE
a(3) = -70 because this is the determinant of [(2,3,5), (3,5,2), (5,2,3)].
MAPLE
a:= n-> LinearAlgebra[Determinant](Matrix(n,
(i, j)-> ithprime(1+irem(i+j-2, n)))):
seq(a(n), n=0..20); # Alois P. Heinz, Dec 09 2016
MATHEMATICA
f[ n_ ] := Module[ {a = Table[ Prime[ i ], {i, 1, n} ], m = {}, k = 0}, While[ k < n, m = Append[ m, RotateLeft[ a, k ] ]; k++ ]; Det[ m ] ]; Table[ f[ n ], {n, 1, 16} ]
PROG
(PARI) a(n) = matdet(matrix(n, n, i, j, prime(1+lift(Mod(i+j-2, n))))); \\ Michel Marcus, Aug 11 2019; corrected Jun 12 2022
CROSSREFS
KEYWORD
easy,sign
AUTHOR
Robert G. Wilson v, Jan 24 2002
EXTENSIONS
a(0)=1 prepended by Alois P. Heinz, Dec 09 2016
STATUS
approved