A071543 a(n) = det M_n where M_n is the n X n matrix m(i,j) = prime(i+j); a(0) = 1 by convention.

1, 3, -4, 12, 144, 576, -7104, 45248, 450432, 2240512, 5292544, -88076288, -62210048, 391122944, -1489174528, -165174853632, 2565388042240, -28667557511168, -1065163492556800, -14206520416796672, -115544734381899776, 5968167755906547712, -258278630548029046784

Offset: 0

Author

Benoit Cloitre, May 30 2002

Keywords

• easy
• sign

Comments

a(n) is a square for n=2,4 and 5. Are there any other values?

Programs

PARI

for(n=1,30,print1(matdet(matrix(n,n,i,j, prime(i+j))),","))

Extensions

Edited by N. J. A. Sloane, Sep 18 2008 at the suggestion of R. J. Mathar.