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A078186 Number of n X n matrices over an alphabet of size 16. 2

%I #14 Sep 08 2022 08:45:08

%S 1,16,65536,68719476736,18446744073709551616,

%T 1267650600228229401496703205376,

%U 22300745198530623141535718272648361505980416,100433627766186892221372630771322662657637687111424552206336

%N Number of n X n matrices over an alphabet of size 16.

%C a(n) = k^(n^2) with k = 2, 3, 4,... counts n X n matrices over an alphabet of size k.

%C Also number of elements in de Bruijn tori (2n X 2n). - _Charles R Greathouse IV_, Nov 19 2013

%H Vincenzo Librandi, <a href="/A078186/b078186.txt">Table of n, a(n) for n = 0..25</a>

%F a(n) = 16^(n^2).

%t Table[16^(n^2), {n, 7}]

%o (Magma) [16^(n^2): n in [0..10]]; // _Vincenzo Librandi_, Jun 05 2011

%o (PARI) a(n)=16^n^2 \\ _Charles R Greathouse IV_, Jan 23 2012

%Y Cf. A078185.

%K nonn,easy

%O 0,2

%A Vincenzo Origlio (vincenzo.origlio(AT)itc.cnr.it), Nov 21 2002

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Last modified April 16 01:01 EDT 2024. Contains 371696 sequences. (Running on oeis4.)