Search: id:A053765
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%I A053765
%S A053765 1,1,16,4096,16777216,1099511627776,1152921504606846976,
%T A053765 19342813113834066795298816,5192296858534827628530496329220096,
%U A053765 22300745198530623141535718272648361505980416
%N A053765 a(n) = 4^(n^2 - n)
%C A053765 Number of nilpotent n X n matrices over GF(4).
%C A053765 (-1)^n * resultant of the Chebyshev polynomial of first kind of degree 
               n and Chebyshev polynomial of first kind of degree 2n (cf. A039991). 
               - Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 26 2003
%D A053765 N. J. Fine and I. N. Herstein, The probability that a matrix be nilpotent, 
               Illinois J. Math., 2 (1958), 499-504.
%D A053765 M. Gerstenhaber, On the number of nilpotent matrices with coefficients 
               in a finite field. Illinois J. Math., Vol. 5 (1961), 330-333.
%Y A053765 Cf. A053763, A053764.
%Y A053765 Sequence in context: A013721 A053859 A053863 this_sequence A139296 A090045 
               A123280
%Y A053765 Adjacent sequences: A053762 A053763 A053764 this_sequence A053766 A053767 
               A053768
%K A053765 easy,nonn
%O A053765 0,3
%A A053765 Stephen G. Penrice (spenrice(AT)ets.org), Mar 29 2000
%E A053765 More terms from James A. Sellers (sellersj(AT)math.psu.edu), Apr 08 2000

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