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.

A334179 Number of dimer tilings of a 2*n x 6 Moebius strip.

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%I A334179 #15 Dec 20 2024 20:43:23
%S A334179 1,18,539,17753,603126,20721019,714790675,24693540102,853526336417,
%T A334179 29507528240963,1020183543633762,35272351950083641,
%U A334179 1219535200106522761,42165342386915661378,1457865351514568764211,50405667966576581717969,1742775306265709714234214,60256436430143085819341347
%N A334179 Number of dimer tilings of a 2*n x 6 Moebius strip.
%F A334179 a(n)^2 = 4^n * Resultant(U_{2*n}(x/2), T_{6}(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 A334179 a[n_] := 2^n * Sqrt[Resultant[ChebyshevU[2*n, x/2], ChebyshevT[6, I*x/2], x]]; Array[a, 18, 0] (* _Amiram Eldar_, May 04 2021 *)
%o A334179 (PARI) {a(n) = sqrtint(4^n*polresultant(polchebyshev(2*n, 2, x/2), polchebyshev(6, 1, I*x/2)))}
%Y A334179 Column 3 of A103997.
%Y A334179 Column 6 of A334178.
%K A334179 nonn
%O A334179 0,2
%A A334179 _Seiichi Manyama_, Apr 17 2020