A060761 -id:A060761 - cp's OEIS frontend

A060757 a(n) = 4^(n^2).

1, 4, 256, 262144, 4294967296, 1125899906842624, 4722366482869645213696, 316912650057057350374175801344, 340282366920938463463374607431768211456, 5846006549323611672814739330865132078623730171904, 1606938044258990275541962092341162602522202993782792835301376

Offset: 0

Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 23 2001

nonn

Number of n X n matrices over GF(4).

a(n) = k^(n^2) with k = 2, 3, 4,... counts n X n matrices over GF(k). - Vincenzo Origlio (vincenzo.origlio(AT)itc.cnr.it), Nov 14 2002

Harry J. Smith, Table of n, a(n) for n = 0..40

Cf. A060761.
Cf. A060722.
Cf. A118185.

f[n_]:=4^(n^2);f[Range[0,14]] (* Vladimir Joseph Stephan Orlovsky, Feb 19 2011 *)

A060757(n):=4^(n^2)$
makelist(A060757(n),n,0,10); /* Martin Ettl, Nov 08 2012 */

a(n)={4^(n^2)} \\ Harry J. Smith, Jul 10 2009

def A060757(n): return 4^(n^2)
print([A060757(n) for n in range(0,11)]) # Stefano Spezia, Mar 28 2025

a(n) = A118185(2n,n). - Alois P. Heinz, Jun 29 2021

More terms from Philippe Deléham, Nov 19 2007

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

Original entry on oeis.org

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

A135321 a(n) = 10^n * 9^(n^2).

Original entry on oeis.org

1, 90, 656100, 387420489000, 18530201888518410000, 71789798769185258877024900000, 22528399544939174411840147874772641000000

Offset: 0

Philippe Deléham, Dec 06 2007

Hankel transform of A131521.

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

Cf. A011557, A060761, A131521.

[10^n*9^(n^2): n in [0..10]]; // Vincenzo Librandi, May 31 2011

Table[10^n * 9^(n^2), {n,0,10}] (* G. C. Greubel, Oct 09 2016 *)

a(n)=10^n*9^(n^2) \\ Charles R Greathouse IV, Oct 09 2016

a(n) = 10^n * 9^(n^2) = A011557(n) * A060761(n).

A135427 a(n) = 8^n * 9^(n^2).

Original entry on oeis.org

1, 72, 419904, 198359290368, 7589970693537140736, 23524081260686625628823519232, 5905684770308534937017423724484399202304, 120091666484242114100641836801136909254418910442160128

Offset: 0

Philippe Deléham, Dec 12 2007

nonn

Hankel transform of A132869.

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

Cf. A001018, A060761, A132869.

[8^n*9^(n^2): n in [0..10]]; // Vincenzo Librandi, May 26 2011

Table[8^n * 9^(n^2), {n,0,15}] (* G. C. Greubel, Oct 14 2016 *)

a(n) = 8^n*9^(n^2) = A001018(n)*A060761(n).

cp's OEIS Frontend

A060757 a(n) = 4^(n^2).

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

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

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

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Magma

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A135321 a(n) = 10^n * 9^(n^2).

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Magma

Mathematica

PARI

Formula

A135427 a(n) = 8^n * 9^(n^2).

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Programs

Magma

Mathematica

Formula