A088853 - OEIS

A088853

Number of n X n matrices over GF(5) with characteristic polynomial x^(n-1) * (x-1).

1, 30, 19375, 304687500, 119171142578125, 1164078712463378906250, 284213456325232982635498046875, 1734719035084708593785762786865234375000, 264697660491697295270796530530788004398345947265625, 1009741855285318541798553204635879865236347541213035583496093750

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

REFERENCES

I. Reiner, On the number of matrices with given characteristic polynomial, Illinois J. Math. 5 1961 324-329.

LINKS

Table of n, a(n) for n=1..10.

FORMULA

a(n) = (q/(q-1))*(q^(n^2-n)-q^(-2*n+n^2)) where q = 5.

CROSSREFS

Cf. A088668, A088671, A088852.

Sequence in context: A089037 A116076 A230473 * A306917 A135349 A159373