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.

A334181 Number of dimer tilings of a 2*n x 10 Moebius strip.

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%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