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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

Table of n, a(n) for n=1..13.

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.)