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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.

A343259 a(n) = 2 * T(n,n/2) where T(n,x) is a Chebyshev polynomial of the first kind.

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%I A343259 #21 Apr 11 2021 09:24:10
%S A343259 2,1,2,18,194,2525,39202,710647,14760962,345946302,9034502498,
%T A343259 260219353691,8195978831042,280256592535933,10340256951198914,
%U A343259 409468947059131650,17322711762013765634,779742677038695037937,37210469265847998489922,1876572071974094803391179
%N A343259 a(n) = 2 * T(n,n/2) where T(n,x) is a Chebyshev polynomial of the first kind.
%H A343259 Seiichi Manyama, <a href="/A343259/b343259.txt">Table of n, a(n) for n = 0..386</a>
%H A343259 Wikipedia, <a href="https://en.wikipedia.org/wiki/Chebyshev_polynomials">Chebyshev polynomials</a>.
%F A343259 a(n) = 2 * cos(n*arccos(n/2)).
%F A343259 a(n) = 2 * n * Sum_{k=0..n} (n-2)^k * binomial(n+k,2*k)/(n+k) for n > 0.
%F A343259 a(n) ~ n^n. - _Vaclav Kotesovec_, Apr 09 2021
%t A343259 Table[2*ChebyshevT[n, n/2], {n, 1, 20}] (* _Amiram Eldar_, Apr 09 2021 *)
%o A343259 (PARI) a(n) = 2*polchebyshev(n, 1, n/2);
%o A343259 (PARI) a(n) = round(2*cos(n*acos(n/2)));
%o A343259 (PARI) a(n) = if(n==0, 2, 2*n*sum(k=0, n, (n-2)^k*binomial(n+k, 2*k)/(n+k)));
%Y A343259 Main diagonal of A298675.
%Y A343259 Cf. A097690, A115066, A342205, A343260, A343261.
%K A343259 nonn
%O A343259 0,1
%A A343259 _Seiichi Manyama_, Apr 09 2021