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A053765 a(n) = 4^(n^2 - n) 4
1, 1, 16, 4096, 16777216, 1099511627776, 1152921504606846976, 19342813113834066795298816, 5192296858534827628530496329220096, 22300745198530623141535718272648361505980416 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Number of nilpotent n X n matrices over GF(4).

(-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, Jan 26 2003

REFERENCES

N. J. Fine and I. N. Herstein, The probability that a matrix be nilpotent, Illinois J. Math., 2 (1958), 499-504.

M. Gerstenhaber, On the number of nilpotent matrices with coefficients in a finite field. Illinois J. Math., Vol. 5 (1961), 330-333.

LINKS

Table of n, a(n) for n=0..9.

CROSSREFS

Cf. A053763, A053764.

Sequence in context: A013721 A053859 A053863 * A193134 A139296 A268757

Adjacent sequences:  A053762 A053763 A053764 * A053766 A053767 A053768

KEYWORD

easy,nonn

AUTHOR

Stephen G. Penrice (spenrice(AT)ets.org), Mar 29 2000

EXTENSIONS

More terms from James A. Sellers, Apr 08 2000

STATUS

approved

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Last modified June 25 22:15 EDT 2017. Contains 288730 sequences.