A229740 a(n) = q^9/6+5*q^8/6+2*q^7/3-q^6/6-5*q^5/6+q^4/3 where q = n-th prime power A000961(n).

1, 352, 9909, 107776, 698125, 12045817, 37679104, 103495401, 584190541, 2487920149, 15207694336, 25846158097, 68520305701, 367691205289, 766959765625, 1513188079677, 2846113596901, 5135516500321, 6803021627392, 24650159312557, 61346708983561, 93685639700269, 206700247118737, 299545983486001

Offset: 1

Author

N. J. A. Sloane, Oct 05 2013

Keywords

• nonn

Links

• L. Kaylor, D. Offner, Counting matrices over a finite field with all eigenvalues in the field, Involve, a Journal of Mathematics, Vol. 7 (2014), No. 5, 627-645. [DOI]

Crossrefs

Cf. A000961, A229738, A229739, A255500, A255501.