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 A334181 #15 Dec 20 2024 20:43:19 %S A334181 1,123,34276,10894561,3625549353,1234496016491,425588878897051, %T A334181 147716667776449068,51459452422736225401,17962375573820654607091, %U A334181 6276640725138515237851803,2194525820018749279915303361,767517569389298359121889024076,268477550040900162034429991254323 %N A334181 Number of dimer tilings of a 2*n x 10 Moebius strip. %F A334181 a(n)^2 = 4^n * Resultant(U_{2*n}(x/2), T_{10}(i*x/2)), where T_n(x) is a Chebyshev polynomial of the first kind, U_n(x) is a Chebyshev polynomial of the second kind and i = sqrt(-1). %t A334181 a[n_] := 2^n * Sqrt[Resultant[ChebyshevU[2*n, x/2], ChebyshevT[10, I*x/2], x]]; Array[a, 14, 0] (* _Amiram Eldar_, May 04 2021 *) %o A334181 (PARI) {a(n) = sqrtint(4^n*polresultant(polchebyshev(2*n, 2, x/2), polchebyshev(10, 1, I*x/2)))} %Y A334181 Column 5 of A103997. %Y A334181 Column 10 of A334178. %K A334181 nonn %O A334181 0,2 %A A334181 _Seiichi Manyama_, Apr 17 2020