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

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

Adjacent sequences: A088850 A088851 A088852 * A088854 A088855 A088856

Keyword

nonn

Author

Yuval Dekel (dekelyuval(AT)hotmail.com) and W. Edwin Clark, Nov 29 2003

Extensions

Added more terms, Joerg Arndt, Oct 04 2013

Status

approved