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 A345463 Number of n X n matrices over GF(2) whose characteristic polynomial is irreducible. 2
 2, 2, 48, 4032, 1935360, 2879815680, 23222833643520, 629183972848435200, 76669842195418919731200, 35461948770962722105432473600, 69793654310697320331920603401420800, 526981774867699711240400039137800880128000, 16622838761287803491875715175557341313583022080000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS FORMULA a(n) = A001037(n)*A002884(n)/A000225(n). MATHEMATICA nn = 12; A001037 = Table[1/n Sum[MoebiusMu[n/d] 2^d, {d, Divisors[n]}], {n, 1,     nn}] Table[Product[2^n - 2^i, {i, 0, n - 1}], {n, 1, nn}]/ Table[2^n - 1, {n, 1, nn}] CROSSREFS Cf. A000225, A001037, A002884. Sequence in context: A318085 A345267 A316090 * A322106 A321693 A268536 Adjacent sequences:  A345460 A345461 A345462 * A345464 A345465 A345466 KEYWORD nonn AUTHOR Geoffrey Critzer, Jun 20 2021 STATUS approved

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Last modified December 4 15:36 EST 2021. Contains 349526 sequences. (Running on oeis4.)