# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a053766 Showing 1-1 of 1 %I A053766 #14 Sep 13 2023 12:27:14 %S A053766 1,1,25,15625,244140625,95367431640625,931322574615478515625, %T A053766 227373675443232059478759765625, %U A053766 1387778780781445675529539585113525390625 %N A053766 a(n) = 5^(n^2 - n). %C A053766 Number of nilpotent n X n matrices over GF(5). %D A053766 N. J. Fine and I. N. Herstein, The probability that a matrix be nilpotent, Illinois J. Math., 2 (1958), 499-504. %D A053766 M. Gerstenhaber, On the number of nilpotent matrices with coefficients in a finite field. Illinois J. Math., Vol. 5 (1961), 330-333. %F A053766 a(n) = A000351(n^2 - n). - _Wesley Ivan Hurt_, Jan 28 2014 %p A053766 A053766:=n->5^(n^2 - n); seq(A053766(n), n=0..10); # _Wesley Ivan Hurt_, Jan 28 2014 %t A053766 Table[5^(n^2 - n), {n, 0, 10}] (* _Wesley Ivan Hurt_, Jan 28 2014 *) %Y A053766 Cf. A053763, A053764, A053765. %K A053766 easy,nonn %O A053766 0,3 %A A053766 _Stephen G Penrice_, Mar 29 2000 %E A053766 More terms from _James A. Sellers_, Apr 08 2000 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE