A060758 -id:A060758 - cp's OEIS frontend

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

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

Offset: 0

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

nonn

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.

Vincenzo Librandi, Table of n, a(n) for n = 0..20
Eric Weisstein's World of Mathematics, Googol, Googolplex

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

[10^(n^2): n in [0..10]]; // Vincenzo Librandi, May 30 2011

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

A076782(n):=10^(n^2)$
makelist(A076782(n),n,0,10); /* Martin Ettl, Nov 08 2012 */

A076781 a(n) = 6^(n^2).

Original entry on oeis.org

1, 6, 1296, 10077696, 2821109907456, 28430288029929701376, 10314424798490535546171949056, 134713546244127343440523266742756048896, 63340286662973277706162286946811886609896461828096

Offset: 0

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

nonn

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

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

Vincenzo Librandi, Table of n, a(n) for n = 0..30

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

[ 6^(n^2): n in [0..10]]; // Vincenzo Librandi, May 30 2011

6^Range[0,12]^2 (* Vladimir Joseph Stephan Orlovsky, Feb 01 2012 *)

More terms from Philippe Deléham, Nov 24 2007

a(5) corrected by Vincenzo Librandi, May 30 2011

A076783 a(n) = 11^(n^2).

Original entry on oeis.org

1, 11, 14641, 2357947691, 45949729863572161, 108347059433883722041830251, 30912680532870672635673352936887453361, 1067189571633593786424240872639621090354383081702091, 4457915684525902395869512133369841539490161434991526715513934826241

Offset: 0

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

Number of n X n matrices over GF(11).

a(n) = k^(n^2) with k = 2, 3, 4, ... counts n X n matrices over GF(k).

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

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

[11^(n^2): n in [0..10]]; // Vincenzo Librandi, May 30 2011

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

More terms from Rick L. Shepherd, May 06 2008

A135420 a(n) = 4^n * 5^(n^2).

Original entry on oeis.org

1, 20, 10000, 125000000, 39062500000000, 305175781250000000000, 59604644775390625000000000000, 291038304567337036132812500000000000000, 35527136788005009293556213378906250000000000000000

Offset: 0

Philippe Deléham, Dec 11 2007

nonn

Hankel transform of A132864.

For n>0, a(n) is even with a last digit of 0 and is 1 when n=0. - Wesley Ivan Hurt, Dec 04 2013

G. C. Greubel, Table of n, a(n) for n = 0..25

A135420:=n->4^n*5^(n^2); seq(A135420(n), n=0..10); # Wesley Ivan Hurt, Dec 04 2013

Table[4^n*5^(n^2), {n,0,10}] (* Wesley Ivan Hurt, Dec 04 2013 *)

a(n) = 4^n*5^(n^2) = A000302(n) * A060758(n).

A120840 5^(n^2)-3^(n^2).

Original entry on oeis.org

0, 2, 544, 1933442, 152544843904, 298022376588343682, 14551915078272216509641504, 17763568393763205317547489159863042, 542101086242748783319906107922486197863801344

Offset: 0

Mohammad K. Azarian, Aug 18 2006

Vincenzo Librandi, Table of n, a(n) for n = 0..30

Cf. A007689, A001047.

[5^(n^2) - 3^(n^2): n in [0..10]]; // Vincenzo Librandi, Feb 27 2013

Table[5^(n^2) - 3^n^2, {n, 0, 10}] (* Vincenzo Librandi, Feb 27 2013 *)

a(n)=5^(n^2)-3^(n^2) \\ Charles R Greathouse IV, Feb 27 2013

a(n) = A060758(n)-A060722(n)=A095860(5,n)-A095860(3,n). - R. J. Mathar, Apr 24 2007

Corrected by Ray Chandler, Sep 06 2006

A135349 6^n*5^(n^2).

Original entry on oeis.org

1, 30, 22500, 421875000, 197753906250000, 2317428588867187500000, 678934156894683837890625000000, 4972662281943485140800476074218750000000

Offset: 0

Philippe Deléham, Dec 07 2007

nonn

Hankel transform of A130977 .

Table[6^n*5^n^2,{n,0,8}] (* Harvey P. Dale, Aug 05 2015 *)

a(n)=6^n*5^(n^2)=A000400(n)*A060758(n).

cp's OEIS Frontend

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

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Magma

Mathematica

Maxima

A076781 a(n) = 6^(n^2).

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Magma

Mathematica

Extensions

A076783 a(n) = 11^(n^2).

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Magma

Mathematica

Extensions

A135420 a(n) = 4^n * 5^(n^2).

Views

Author

Keywords

Comments

Links

Programs

Maple

Mathematica

Formula

A120840 5^(n^2)-3^(n^2).

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Mathematica

PARI

Formula

Extensions

A135349 6^n*5^(n^2).

Views

Author

Keywords

Comments

Programs

Mathematica

Formula