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A076782
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a(n) = 10^(n^2).
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6
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1, 10, 10000, 1000000000, 10000000000000000, 10000000000000000000000000, 1000000000000000000000000000000000000, 10000000000000000000000000000000000000000000000000, 10000000000000000000000000000000000000000000000000000000000000000, 1000000000000000000000000000000000000000000000000000000000000000000000000000000000
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OFFSET
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0,2
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COMMENTS
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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.
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..20
Eric Weisstein's World of Mathematics, Googol, Googolplex
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MATHEMATICA
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10^Range[0, 10]^2 (* Vladimir Joseph Stephan Orlovsky, Feb 01 2012 *)
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PROG
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(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 */
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CROSSREFS
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Cf. A060757, A060758, A060759, A060760, A060761.
Sequence in context: A137642 A163019 A013746 * A213653 A283889 A283890
Adjacent sequences: A076779 A076780 A076781 * A076783 A076784 A076785
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KEYWORD
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nonn
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AUTHOR
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Vincenzo Origlio (vincenzo.origlio(AT)itc.cnr.it), Nov 15 2002
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STATUS
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approved
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