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

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

Offset: 0

Author

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

Keywords

• nonn

Comments

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

Links

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

Crossrefs

Cf. A060761.

Cf. A060722.

Cf. A118185.

Programs

Mathematica

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

Maxima

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

PARI

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

Sage

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

Formula

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

Extensions

More terms from Philippe Deléham, Nov 19 2007