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A060721 Singular n X n matrices over GF(7). 2

%I #11 Jul 03 2018 02:26:19

%S 1,385,6569479,5421836400001,218857429741036363207,

%T 432771509734663800164593788001,

%U 41931064368881878511703371604583698172807

%N Singular n X n matrices over GF(7).

%H Harry J. Smith, <a href="/A060721/b060721.txt">Table of n, a(n) for n = 1..34</a>

%F For n >= 1, a(n) = 7^(n^2) - A053293(n) = 7^(n^2) - (7^n - 1)*(7^n - 7)*...*(7^n - 7^(n-1)).

%p for n from 1 to 15 do printf(`%d,`, 7^(n^2) - product(7^n-7^j, j=0..n-1)) od:

%o (PARI) a(n)={7^(n^2) - prod(j=0, n - 1, 7^n - 7^j)} \\ _Harry J. Smith_, Jul 10 2009

%Y Cf. A053293.

%K nonn

%O 1,2

%A Avi Peretz (njk(AT)netvision.net.il), Apr 21 2001

%E More terms from _James A. Sellers_, Apr 24 2001

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Last modified March 29 03:41 EDT 2024. Contains 371264 sequences. (Running on oeis4.)