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%I #14 Sep 13 2023 12:27:14
%S 1,1,25,15625,244140625,95367431640625,931322574615478515625,
%T 227373675443232059478759765625,
%U 1387778780781445675529539585113525390625
%N a(n) = 5^(n^2 - n).
%C Number of nilpotent n X n matrices over GF(5).
%D N. J. Fine and I. N. Herstein, The probability that a matrix be nilpotent, Illinois J. Math., 2 (1958), 499-504.
%D M. Gerstenhaber, On the number of nilpotent matrices with coefficients in a finite field. Illinois J. Math., Vol. 5 (1961), 330-333.
%F a(n) = A000351(n^2 - n). - _Wesley Ivan Hurt_, Jan 28 2014
%p A053766:=n->5^(n^2 - n); seq(A053766(n), n=0..10); # _Wesley Ivan Hurt_, Jan 28 2014
%t Table[5^(n^2 - n), {n, 0, 10}] (* _Wesley Ivan Hurt_, Jan 28 2014 *)
%Y Cf. A053763, A053764, A053765.
%K easy,nonn
%O 0,3
%A _Stephen G Penrice_, Mar 29 2000
%E More terms from _James A. Sellers_, Apr 08 2000
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