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A334183 Number of dimer tilings of a 2*n x 14 Moebius strip. 2
1, 843, 2226851, 7009284232, 23313951730593, 79684937704014787, 276820366633357961907, 971684488369988888850993, 3433809783046699326165318697, 12187832583695135440208385490411, 43381711462091769247169214041784216, 154696550169813236996441805153918153313 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..11.

FORMULA

a(n)^2 = 4^n * Resultant(U_{2*n}(x/2), T_{14}(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).

PROG

(PARI) {a(n) = sqrtint(4^n*polresultant(polchebyshev(2*n, 2, x/2), polchebyshev(14, 1, I*x/2)))}

CROSSREFS

Column 7 of A103997.

Column 14 of A334178.

Sequence in context: A158403 A114359 A038013 * A078144 A071320 A323253

Adjacent sequences:  A334180 A334181 A334182 * A334184 A334185 A334186

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Apr 17 2020

STATUS

approved

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Last modified August 4 13:49 EDT 2020. Contains 336201 sequences. (Running on oeis4.)