A086190 Sum of rank(M) over all n X n matrices over GF(3).

0, 2, 128, 50258, 152583680, 3848135499362, 831635515536146048, 1565118078583425627499058, 25891049952879626239605534955520, 3786985075909223206935197348611801222082, 4916838220400668315060476949839366817233722142848

Offset: 0

Author

Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 26 2003

Keywords

• nonn

Crossrefs

Cf. A086098.

Programs

PARI

a(n)=sum(r=1,n, r*prod(j=0,(r-1),(3^n-3^j)^2/(3^r-3^j)))

Formula

a(n) = Sum_{r=1..n} r*Product_{j=0..r-1} (q^n-q^j)^2/(q^r-q^j) with q=3.

Extensions

More terms from Benoit Cloitre, Aug 27 2003

a(10) from Andrew Howroyd, Jul 08 2018