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

1, 16, 65536, 68719476736, 18446744073709551616, 1267650600228229401496703205376, 22300745198530623141535718272648361505980416, 100433627766186892221372630771322662657637687111424552206336

Offset

0,2

Comments

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

Also number of elements in de Bruijn tori (2n X 2n). - Charles R Greathouse IV, Nov 19 2013

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..25

Formula

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

Mathematica

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

Prog

(Magma) [16^(n^2): n in [0..10]]; // Vincenzo Librandi, Jun 05 2011
(PARI) a(n)=16^n^2 \\ Charles R Greathouse IV, Jan 23 2012

Crossrefs

Cf. A078185.

Sequence in context: A087586 A105312 A013758 * A217026 A087926 A193135

Adjacent sequences: A078183 A078184 A078185 * A078187 A078188 A078189

Keyword

nonn,easy

Author

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

Status

approved