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 A081035 #18 Jul 23 2024 16:21:34
%S A081035 1,17,209,2273,23201,228017,2186609,20620673,192174401,1775688017,
%T A081035 16304021009,148995991073,1356782533601,12321773100017,
%U A081035 111671069983409,1010465414433473,9132169221980801,82455386442384017,743959522093353809,6708663007623467873,60469158230094196001
%N A081035 8th binomial transform of the periodic sequence (1,9,1,1,9,1...).
%H A081035 Vincenzo Librandi, <a href="/A081035/b081035.txt">Table of n, a(n) for n = 0..300</a>
%H A081035 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (16,-63).
%F A081035 a(n) = 9*a(n-1) + 8*7^(n-1).
%F A081035 a(n) = 5*9^n - 4*7^n.
%F A081035 G.f.: (1+x)/((1-7*x)*(1-9*x)). - _Vincenzo Librandi_, Aug 06 2013
%F A081035 a(0)=1, a(1)=17, a(n)=16*a(n-1)-63*a(n-2). - _Harvey P. Dale_, Oct 07 2014
%F A081035 E.g.f.: exp(7*x)*(5*exp(2*x) - 4). - _Stefano Spezia_, Jul 23 2024
%t A081035 CoefficientList[Series[(1 + x)/((1 - 7 x) (1 - 9 x)), {x, 0, 30}], x] (* _Vincenzo Librandi_, Aug 06 2013 *)
%t A081035 LinearRecurrence[{16,-63},{1,17},30] (* _Harvey P. Dale_, Oct 07 2014 *)
%o A081035 (Magma) [5*9^n-4*7^n: n in [0..25]]; // _Vincenzo Librandi_, Aug 06 2013
%o A081035 (PARI) a(n)=5*9^n-4*7^n \\ _Charles R Greathouse IV_, Oct 07 2015
%Y A081035 Cf. A081034, A081036.
%K A081035 nonn,easy
%O A081035 0,2
%A A081035 _Paul Barry_, Mar 03 2003