A290179 Permanent of the Vandermonde matrix of the first n prime numbers.

1, 1, 5, 220, 143842, 3812606760, 3100526225748168, 166067393340668215090464, 385094129557861603998569599769808, 77982538436250653791038197809234977272470080, 2745781888570437969210153614136500296784874421242232818048

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..22

Wikipedia, Permanent (mathematics)

Wikipedia, Vandermonde matrix

Example

a(3) = Permanent([1, 2, 4; 1, 3, 9; 1, 5, 25]) = 220.

Maple

with(LinearAlgebra):
a:= n-> `if`(n=0, 1, Permanent(VandermondeMatrix([ithprime(i)$i=1..n]))):
seq(a(n), n=0..12);

Crossrefs

Cf. A000040, A080358.

Sequence in context: A346196 A261945 A024070 * A050617 A066462 A046193

Adjacent sequences: A290176 A290177 A290178 * A290180 A290181 A290182

Keyword

nonn

Author

Alois P. Heinz, Jul 23 2017

Status

approved