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 A158797 #20 Jan 03 2024 08:48:52 %S A158797 1,6,42,258,1770,11058,74778,472866,3164874,20188050,134123514, %T A158797 860893314,5689339818,36681499122,241497732570,1562031700962, %U A158797 10255950073482,66489091308114,435703293953466,2829310581045570 %N A158797 a(n) = a(n-1) + 36*a(n-2), a(0)=1, a(1)=6. %H A158797 G. C. Greubel, <a href="/A158797/b158797.txt">Table of n, a(n) for n = 0..1000</a> %H A158797 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (1,36). %F A158797 G.f.: (1+5*x)/(1-x-36*x^2). %F A158797 a(n) = (6*i)^n*( ChebyshevU(n, -i/12) - (5*i/6)*ChebyshevU(n-1, -i/12) ). - _G. C. Greubel_, Dec 22 2021 %t A158797 LinearRecurrence[{1,36},{1,6},30] (* _Harvey P. Dale_, Apr 30 2013 *) %o A158797 (PARI) Vec((1+5*x)/(1-x-36*x^2)+O(x^99)) \\ _Charles R Greathouse IV_, Jan 17 2012 %o A158797 (Sage) [(6*i)^n*( chebyshev_U(n, -i/12) - (5*i/6)*chebyshev_U(n-1, -i/12) ) for n in (0..40)] # _G. C. Greubel_, Dec 22 2021 %o A158797 (Magma) I:=[1,6]; [n le 2 select I[n] else Self(n-1) + 36*Self(n-2): n in [1..41]]; // _G. C. Greubel_, Dec 22 2021 %Y A158797 Cf. A000045, A026597, A122994, A122995, A158608. %K A158797 nonn,easy,less %O A158797 0,2 %A A158797 _Philippe Deléham_, Mar 27 2009