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.

A345463 Number of n X n matrices over GF(2) whose characteristic polynomial is irreducible.

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%I A345463 #6 Jun 30 2021 10:35:22
%S A345463 2,2,48,4032,1935360,2879815680,23222833643520,629183972848435200,
%T A345463 76669842195418919731200,35461948770962722105432473600,
%U A345463 69793654310697320331920603401420800,526981774867699711240400039137800880128000,16622838761287803491875715175557341313583022080000
%N A345463 Number of n X n matrices over GF(2) whose characteristic polynomial is irreducible.
%F A345463 a(n) = A001037(n)*A002884(n)/A000225(n).
%t A345463 nn = 12; A001037 = Table[1/n Sum[MoebiusMu[n/d] 2^d, {d, Divisors[n]}], {n, 1,
%t A345463     nn}] Table[Product[2^n - 2^i, {i, 0, n - 1}], {n, 1, nn}]/ Table[2^n - 1, {n, 1, nn}]
%Y A345463 Cf. A000225, A001037, A002884.
%K A345463 nonn
%O A345463 1,1
%A A345463 _Geoffrey Critzer_, Jun 20 2021