The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A053293 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A053293

Number of nonsingular n X n matrices over GF(7).
(history; published version)

#18 by G. C. Greubel at Fri Jun 01 01:39:04 EDT 2018

FORMULA

a(n) = A109493(n)*A027875(n). [_- _Bruno Berselli_, Jan 30 2013]

PROG

(PARI) for(n=0, 10, print1(prod(k=0, n-1, 7^n - 7^k), ", ")) \\ G. C. Greubel, May 31 2018

STATUS

approved

editing

#17 by Charles R Greathouse IV at Fri May 10 12:44:25 EDT 2013

EXTENSIONS

More terms from _Vladeta Jovovic (vladeta(AT)eunet.rs), _, Mar 16 2000

Discussion

Fri May 10

12:44

OEIS Server: https://oeis.org/edit/global/1911

#16 by Bruno Berselli at Wed Jan 30 14:42:21 EST 2013

STATUS

editing

approved

#15 by Bruno Berselli at Wed Jan 30 14:42:07 EST 2013

FORMULA

a(n) = A109493(n)*A027875(n). [Bruno Berselli, Jan 30 2013]

CROSSREFS

Cf. A002884, A003790, A027875, A053290-A053292, A109493.

STATUS

approved

editing

#14 by Joerg Arndt at Mon Jan 28 03:30:42 EST 2013

STATUS

reviewed

approved

#13 by Bruno Berselli at Mon Jan 28 03:30:12 EST 2013

STATUS

proposed

reviewed

#12 by Bruno Berselli at Mon Jan 28 03:29:55 EST 2013

STATUS

editing

proposed

#11 by Bruno Berselli at Mon Jan 28 03:29:49 EST 2013

LINKS

J. Overbey, W. Traves and J. Wojdylo, <a href="http://jeff.over.bz/papers/undergrad/on-the-keyspace-of-the-hill-cipher.pdf">On the Keyspace of the Hill Cipher</a>.

#10 by Bruno Berselli at Mon Jan 28 03:29:23 EST 2013

FORMULA

a(n) = (7^n - 1)*(7^n - 7)*...*(7^n - 7^(n-1)).

PROG

(MAGMA) [1] cat [&*[(7^n - 7^k): k in [0..n-1]]: n in [1..7]]; // Bruno Berselli, Jan 28 2013

CROSSREFS

Cf. A002884, A003790, A053290-A053292.

Cf. A003790.

STATUS

proposed

editing

#9 by Vincenzo Librandi at Mon Jan 28 01:17:59 EST 2013

STATUS

editing

proposed