Search: id:A053766
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%I A053766
%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.
%Y A053766 Cf. A053763, A053764, A053765.
%Y A053766 Sequence in context: A091744 A061111 A082211 this_sequence A034711 A076445 
               A013835
%Y A053766 Adjacent sequences: A053763 A053764 A053765 this_sequence A053767 A053768 
               A053769
%K A053766 easy,nonn
%O A053766 0,3
%A A053766 Stephen G. Penrice (spenrice(AT)ets.org), Mar 29 2000
%E A053766 More terms from James A. Sellers (sellersj(AT)math.psu.edu), Apr 08 2000

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