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.
%I A069580 #11 Jul 12 2025 08:34:43 %S A069580 2,160,176128,2973761536,790377061679104,3337070496489549070336, %T A069580 224673304169436873829314985984, %U A069580 241628003280411784073600553618302304256,4154447778684876644944282114016459737751307157504,1142419984262996237357582885893433282120743128964441021874176 %N A069580 Number of noninvertible n X n matrices mod 4 (i.e., over the ring Z_4). %F A069580 a(n) = 4^(n^2) - A065128(n). %F A069580 a(n) ~ c * 4^(n^2), where c = 1 - A048651. - _Amiram Eldar_, Jul 12 2025 %t A069580 a[n_] := 4^(n^2) * (1 - Product[1 - 1/2^k, {k, 1, n}]); Array[a, 10] (* _Amiram Eldar_, Jul 12 2025 *) %o A069580 (PARI) a(n) = 4^(n^2) * (1 - prod(k = 1, n, 1-1/2^k)); \\ _Amiram Eldar_, Jul 12 2025 %Y A069580 Cf. A011787, A048651, A065128. %K A069580 nonn %O A069580 1,1 %A A069580 Sharon Sela (sharonsela(AT)hotmail.com), Apr 18 2002 %E A069580 More terms from _Max Alekseyev_, Jan 23 2012