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 A110294 #22 Dec 16 2024 15:07:41
%S A110294 1,-8,15,-112,209,-1560,2911,-21728,40545,-302632,564719,-4215120,
%T A110294 7865521,-58709048,109552575,-817711552,1525870529,-11389252680,
%U A110294 21252634831,-158631825968,296011017105,-2209456310872,4122901604639,-30773756526240,57424611447841
%N A110294 a(2*n) = A028230(n), a(2*n+1) = -A067900(n+1).
%C A110294 See A110293.
%H A110294 Colin Barker, <a href="/A110294/b110294.txt">Table of n, a(n) for n = 0..1000</a>
%H A110294 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,14,0,-1).
%F A110294 G.f.: (1-8*x+x^2) / ((1-4*x+x^2)*(1+4*x+x^2)).
%F A110294 a(n) = 14*a(n-2) - a(n-4) for n>3. - _Colin Barker_, Nov 01 2016
%F A110294 a(n) = (3*(-1)^n - 1)*A001353(n+1)/2. - _R. J. Mathar_, Sep 11 2019
%p A110294 seriestolist(series((1-8*x+x^2)/((x^2-4*x+1)*(x^2+4*x+1)), x=0,25));
%t A110294 CoefficientList[Series[(1-8x+x^2)/((1-4x+x^2)(1+4x+x^2)), {x, 0, 24}], x] (* _Michael De Vlieger_, Nov 01 2016 *)
%t A110294 LinearRecurrence[{0,14,0,-1},{1,-8,15,-112},30] (* _Harvey P. Dale_, Dec 16 2024 *)
%o A110294 (PARI) Vec((1-8*x+x^2)/((1-4*x+x^2)*(1+4*x+x^2)) + O(x^30)) \\ _Colin Barker_, Nov 01 2016
%o A110294 (Magma) [(3*(-1)^n-1)*Evaluate(ChebyshevSecond(n+1), 2)/2: n in [0..40]]; // _G. C. Greubel_, Jan 04 2023
%o A110294 (SageMath) [(3*(-1)^n-1)*chebyshev_U(n,2)/2 for n in range(41)] # _G. C. Greubel_, Jan 04 2023
%Y A110294 Cf. A001353, A001570, A011943, A028230, A067900, A110293.
%K A110294 easy,sign
%O A110294 0,2
%A A110294 _Creighton Dement_, Jul 18 2005