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 A085524 #59 Nov 02 2022 07:43:29
%S A085524 0,1,8,243,16384,1953125,362797056,96889010407,35184372088832,
%T A085524 16677181699666569,10000000000000000000,7400249944258160101211,
%U A085524 6624737266949237011120128,7056410014866816666030739693,8819763977946281130444984418304,12783403948858939111232757568359375
%N A085524 a(0) = 0; a(n) = n^(2*n-1) for n > 0.
%C A085524 For n > 0, a(n) is the square of the determinant of the (2*n) X (2*n) matrix with elements M(j,k) = cos(Pi*j*k/n). See the MathOverflow link. - _Hugo Pfoertner_, Sep 18 2021
%H A085524 Joerg Arndt, <a href="/A085524/b085524.txt">Table of n, a(n) for n = 0..100</a>
%H A085524 Zhi-Wei Sun, Fedor Petrov, <a href="https://mathoverflow.net/questions/321098/">A surprising identity</a>, discussion in MathOverflow, Jan 17 2019.
%F A085524 a(n) = n! * [x^n] -LambertW(-n*x). - _Ilya Gutkovskiy_, Oct 04 2017
%F A085524 a(n) = A089072(2*n-1, n), n >= 1. - _G. C. Greubel_, Nov 01 2022
%t A085524 Join[{0}, Table[n^(2 n - 1), {n, 20}]] (* _Harvey P. Dale_, May 16 2016 *)
%o A085524 (PARI) a(n) = if(n==0, 0, n^(2*n-1)) \\ _Altug Alkan_, Oct 04 2017
%o A085524 (Magma) [n eq 0 select 0 else n^(2*n-1): n in [0..30]]; // _G. C. Greubel_, Nov 01 2022
%o A085524 (SageMath) [0]+[n^(2*n-1) for n in range(1,31)] # _G. C. Greubel_, Nov 01 2022
%Y A085524 Cf. A062206, A085526, A089072.
%K A085524 nonn
%O A085524 0,3
%A A085524 _N. J. A. Sloane_, Jul 05 2003