cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A052498 Number of nonsingular n X n matrices over GF(11).

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%I A052498 #23 Jul 06 2025 02:54:52
%S A052498 1,10,13200,2124276000,41393302251840000,97602635428252959312000000,
%T A052498 27847155251069188894843979022720000000,
%U A052498 961359275427083998992553051820498439890246400000000
%N A052498 Number of nonsingular n X n matrices over GF(11).
%H A052498 Vincenzo Librandi, <a href="/A052498/b052498.txt">Table of n, a(n) for n = 0..30</a>
%F A052498 a(n) = (11^n - 1)*(11^n - 11)*...*(11^n - 11^(n-1)).
%F A052498 a(n) = A110195(n)*A027879(n). - _Bruno Berselli_, Jan 30 2013
%F A052498 a(n) ~ c * 11^(n^2), where c = A132267. - _Amiram Eldar_, Jul 06 2025
%t A052498 Table[Product[11^n - 11^k, {k, 0, n-1}], {n, 0, 10}] (* _Vincenzo Librandi_, Jan 28 2013 *)
%o A052498 (Magma) [1] cat [&*[(11^n - 11^k): k in [0..n-1]]: n in [1..10]]; // _Bruno Berselli_, Jan 28 2013
%o A052498 (PARI) {a(n) = prod(j=0,n-1, 11^n - 11^j)}; \\ _G. C. Greubel_, May 14 2019
%o A052498 (Sage) [product(11^n - 11^j for j in (0..n-1)) for n in (0..10)] # _G. C. Greubel_, May 14 2019
%Y A052498 Cf. A027879, A110195.
%Y A052498 Cf. A002884, A053290, A053291, A053292, A053293, A052496, A052497, A132267.
%K A052498 nonn,easy
%O A052498 0,2
%A A052498 _Vladeta Jovovic_, Mar 16 2000