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 A334182 #15 Dec 20 2024 20:43:27 %S A334182 1,322,276119,275770321,289625349454,312007855309063, %T A334182 341133743251787719,376320092633385077198,417378876015895466713681, %U A334182 464421220758849403137304663,517771128105959394949223994178,577920313480485996169789045855489,645503767039127463811947619425652481 %N A334182 Number of dimer tilings of a 2*n x 12 Moebius strip. %F A334182 a(n)^2 = 4^n * Resultant(U_{2*n}(x/2), T_{12}(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 A334182 a[n_] := 2^n * Sqrt[Resultant[ChebyshevU[2*n, x/2], ChebyshevT[12, I*x/2], x]]; Array[a, 13, 0] (* _Amiram Eldar_, May 04 2021 *) %o A334182 (PARI) {a(n) = sqrtint(4^n*polresultant(polchebyshev(2*n, 2, x/2), polchebyshev(12, 1, I*x/2)))} %Y A334182 Column 6 of A103997. %Y A334182 Column 12 of A334178. %K A334182 nonn %O A334182 0,2 %A A334182 _Seiichi Manyama_, Apr 17 2020