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 A053290 Number of nonsingular n X n matrices over GF(3). 25
 1, 2, 48, 11232, 24261120, 475566474240, 84129611558952960, 134068444202678083338240, 1923442429811445711790394572800, 248381049201184165590947520186915225600, 288678833735376059528974260112416365258106470400 (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 (PARI) for(n=0, 10, print1(prod(k=0, n-1, 3^n - 3^k), ", ")) \\ G. C. Greubel, May 31 2018 CROSSREFS Column k=3 of A316622. 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 September 24 11:26 EDT 2020. Contains 337318 sequences. (Running on oeis4.)