A076781 - OEIS

%I #23 Sep 08 2022 08:45:07

%S 1,6,1296,10077696,2821109907456,28430288029929701376,

%T 10314424798490535546171949056,

%U 134713546244127343440523266742756048896,63340286662973277706162286946811886609896461828096

%N a(n) = 6^(n^2).

%C Number of n X n matrices over an alphabet of size 6.

%C a(n) = k^(n^2) with k = 2, 3, 4, ... counts n X n matrices over Z/kZ.

%H Vincenzo Librandi, <a href="/A076781/b076781.txt">Table of n, a(n) for n = 0..30</a>

%t 6^Range[0,12]^2 (* _Vladimir Joseph Stephan Orlovsky_, Feb 01 2012 *)

%o (Magma) [ 6^(n^2): n in [0..10]]; // _Vincenzo Librandi_, May 30 2011

%Y Cf. A060757, A060758, A060759, A060760, A060761.

%K nonn

%O 0,2

%A Vincenzo Origlio (vincenzo.origlio(AT)itc.cnr.it), Nov 15 2002

%E More terms from _Philippe Deléham_, Nov 24 2007

%E a(5) corrected by _Vincenzo Librandi_, May 30 2011