A076782 a(n) = 10^(n^2).

1, 10, 10000, 1000000000, 10000000000000000, 10000000000000000000000000, 1000000000000000000000000000000000000, 10000000000000000000000000000000000000000000000000, 10000000000000000000000000000000000000000000000000000000000000000, 1000000000000000000000000000000000000000000000000000000000000000000000000000000000

Offset

0,2

Comments

Number of n X n matrices over an alphabet of size 10.

The 10th term of this sequence is the googol (10^100).

The term in position 10^50 (sqrt(googol)) is the googolplex (10^googol).

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

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..20

Eric Weisstein's World of Mathematics, Googol, Googolplex

Mathematica

10^Range[0, 10]^2 (* Vladimir Joseph Stephan Orlovsky, Feb 01 2012 *)

Prog

(Magma) [10^(n^2): n in [0..10]]; // Vincenzo Librandi, May 30 2011
(Maxima) A076782(n):=10^(n^2)$
makelist(A076782(n), n, 0, 10); /* Martin Ettl, Nov 08 2012 */

Crossrefs

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

Sequence in context: A137642 A163019 A013746 * A213653 A283889 A283890

Adjacent sequences: A076779 A076780 A076781 * A076783 A076784 A076785

Keyword

nonn

Author

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

Status

approved