cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A053766 a(n) = 5^(n^2 - n).

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%I A053766 #15 Jul 02 2025 16:01:59
%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 Sellers_, Apr 08 2000