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A053290 Number of nonsingular n X n matrices over GF(3). 20
1, 2, 48, 11232, 24261120, 475566474240, 84129611558952960, 134068444202678083338240, 1923442429811445711790394572800, 248381049201184165590947520186915225600 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..45

J. Overbey, W. Traves and J. Wojdylo, On the Keyspace of the Hill Cipher.

FORMULA

a(n) = Product_{k=0..n-1}(3^n-3^k). - corrected by Michel Marcus, Sep 18 2015

a(n) = A047656(n)*A027871(n). [Bruno Berselli, Jan 30 2013]

MATHEMATICA

Table[Product[3^n - 3^k, {k, 0, n - 1}], {n, 0, 10}] (* Geoffrey Critzer, Jan 26 2013 *)

PROG

(MAGMA) [1] cat [&*[(3^n - 3^k): k in [0..n-1]]: n in [1..9]]; // Bruno Berselli, Jan 28 2013

CROSSREFS

Cf. A002884, A003787, A027871, A047656, A053291-A053293.

Sequence in context: A238838 A002820 A196448 * A056989 A230886 A090770

Adjacent sequences:  A053287 A053288 A053289 * A053291 A053292 A053293

KEYWORD

nonn,easy

AUTHOR

Stephen G. Penrice (spenrice(AT)ets.org), Mar 04 2000

EXTENSIONS

More terms from Vladeta Jovovic, Mar 16 2000

Edited Mathematica code by Vincenzo Librandi, Jan 28 2013

STATUS

approved

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Last modified October 23 22:24 EDT 2017. Contains 293830 sequences.