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 A081036 #20 Jul 23 2024 16:21:23
%S A081036 1,19,262,3196,36568,402544,4320352,45562816,474502528,4896020224,
%T A081036 50168161792,511345294336,5190762354688,52526098837504,
%U A081036 530208790700032,5341670325600256,53733362604802048,539866900838416384,5418935206707331072,54351481653658648576,544811853229269188608
%N A081036 9th binomial transform of the periodic sequence (1,10,1,1,10,1...).
%H A081036 Vincenzo Librandi, <a href="/A081036/b081036.txt">Table of n, a(n) for n = 0..300</a>
%H A081036 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (18,-80).
%F A081036 a(n) = 10*a(n-1) + 9*8^(n-1).
%F A081036 a(n) = (11/2)*10^n - (9/2)*8^n.
%F A081036 G.f.: (1+x)/((1-8*x)*(1-10*x)). - _Vincenzo Librandi_, Aug 06 2013
%F A081036 a(0)=1, a(1)=19, a(n)=18*a(n-1)-80*a(n-2). - _Harvey P. Dale_, Aug 16 2014
%F A081036 E.g.f.: exp(8*x)*(11*exp(2*x) - 9)/2. - _Stefano Spezia_, Jul 23 2024
%t A081036 CoefficientList[Series[(1 + x)/((1 - 8 x) (1 - 10 x)), {x, 0, 30}], x] (* _Vincenzo Librandi_, Aug 06 2013 *)
%t A081036 LinearRecurrence[{18,-80},{1,19},20] (* _Harvey P. Dale_, Aug 16 2014 *)
%o A081036 (Magma) [(11/2)*10^n-(9/2)*8^n: n in [0..25]]; // _Vincenzo Librandi_, Aug 06 2013
%Y A081036 Cf. A081034, A081035.
%K A081036 nonn,easy
%O A081036 0,2
%A A081036 _Paul Barry_, Mar 03 2003
%E A081036 Corrected by _T. D. Noe_, Nov 07 2006