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Permanent of the Vandermonde matrix of the first n prime numbers.
2

%I #13 Mar 07 2019 17:51:35

%S 1,1,5,220,143842,3812606760,3100526225748168,

%T 166067393340668215090464,385094129557861603998569599769808,

%U 77982538436250653791038197809234977272470080,2745781888570437969210153614136500296784874421242232818048

%N Permanent of the Vandermonde matrix of the first n prime numbers.

%H Alois P. Heinz, <a href="/A290179/b290179.txt">Table of n, a(n) for n = 0..22</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Permanent_(mathematics)">Permanent (mathematics)</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Vandermonde_matrix">Vandermonde matrix</a>

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

%p with(LinearAlgebra):

%p a:= n-> `if`(n=0, 1, Permanent(VandermondeMatrix([ithprime(i)$i=1..n]))):

%p seq(a(n), n=0..12);

%Y Cf. A000040, A080358.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Jul 23 2017