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.

A054751 Number of inequivalent n X n matrices over GF(4) under action of dihedral group of the square D_4.

This page as a plain text file.
%I A054751 #10 Aug 16 2021 17:22:27
%S A054751 1,4,55,34960,537157696,140738033618944,590295811483987148800,
%T A054751 39614081257168338331296071680,42535295865117309120430975675097153536,
%U A054751 730750818665451459102461990840694008379514814464,200867255532373784442745261867639247948787687313041365401600
%N A054751 Number of inequivalent n X n matrices over GF(4) under action of dihedral group of the square D_4.
%H A054751 Andrew Howroyd, <a href="/A054751/b054751.txt">Table of n, a(n) for n = 0..25</a>
%F A054751 a(n) = 1/8*(4^(n^2) + 2*4^(n^2/4) + 3*4^(n^2/2) + 2*4^((n^2+n)/2)) if n is even;
%F A054751 a(n) = 1/8*(4^(n^2) + 2*4^((n^2+3)/4) + 4^((n^2+1)/2) + 4*4^((n^2+n)/2)) if n is odd.
%t A054751 Table[If[EvenQ[n],(4^n^2+2*4^(n^2/4)+3*4^(n^2/2)+2*4^((n^2+n)/2))/8,(4^n^2+2*4^((n^2+3)/4)+4^((n^2+1)/2)+4*4^((n^2+n)/2))/8],{n,0,10}] (* _Harvey P. Dale_, Aug 16 2021 *)
%Y A054751 Column k=4 of A343097.
%Y A054751 Cf. A054247.
%K A054751 easy,nonn
%O A054751 0,2
%A A054751 _Vladeta Jovovic_, May 15 2000
%E A054751 Terms a(10) and beyond from _Andrew Howroyd_, Apr 15 2021