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 A053766 a(n) = 5^(n^2 - n) 1
 1, 1, 25, 15625, 244140625, 95367431640625, 931322574615478515625, 227373675443232059478759765625, 1387778780781445675529539585113525390625 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Number of nilpotent n X n matrices over GF(5). 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 FORMULA a(n) = A000351(n^2 - n). - Wesley Ivan Hurt, Jan 28 2014 MAPLE A053766:=n->5^(n^2 - n); seq(A053766(n), n=0..10); # Wesley Ivan Hurt, Jan 28 2014 MATHEMATICA Table[5^(n^2 - n), {n, 0, 10}] (* Wesley Ivan Hurt, Jan 28 2014 *) CROSSREFS Cf. A053763, A053764, A053765. Sequence in context: A238564 A195682 A082211 * A298467 A203543 A034711 Adjacent sequences:  A053763 A053764 A053765 * A053767 A053768 A053769 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 February 29 08:26 EST 2020. Contains 332355 sequences. (Running on oeis4.)