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.

A088852 Number of n X n matrices over GF(4) with characteristic polynomial x^(n-1) * (x-1).

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%I A088852 #18 Jul 13 2025 11:07:29
%S A088852 1,20,5376,22282240,1464583847936,1536853372840181760,
%T A088852 25788843362951132511993856,6922956840496417818923870380359680,
%U A088852 29734213503918523875893136571995338085236736,2043325439152335369940571764620635289780959288334745600
%N A088852 Number of n X n matrices over GF(4) with characteristic polynomial x^(n-1) * (x-1).
%H A088852 Irving Reiner, <a href="http://doi.org/10.1215/ijm/1255629830">On the number of matrices with given characteristic polynomial</a>,  Illinois Journal of Mathematics, Vol. 5, No. 2 (1961), pp. 324-329.
%F A088852 a(n) = (q/(q-1))*(q^(n^2-n)-q^(-2*n+n^2)) where q = 4.
%t A088852 a[n_] := (4/3)*(4^(n^2-n) - 4^(n^2-2*n)); Array[a, 10] (* _Amiram Eldar_, Jul 13 2025 *)
%Y A088852 Cf. A088668, A088671, A088853.
%K A088852 nonn
%O A088852 1,2
%A A088852 Yuval Dekel (dekelyuval(AT)hotmail.com) and _W. Edwin Clark_, Nov 29 2003
%E A088852 More terms from _Joerg Arndt_, Oct 04 2013