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 A080962 #18 Jul 23 2024 14:51:32
%S A080962 1,11,86,596,3896,24656,153056,938816,5714816,34616576,209010176,
%T A080962 1259303936,7576795136,45544656896,273603485696,1642963091456,
%U A080962 9863147257856,59200358383616,355288049647616,2132071895269376,12793805761150976,76768332125044736,460631982982823936
%N A080962 5th binomial transform of the periodic sequence (1,6,1,1,6,1...).
%H A080962 Vincenzo Librandi, <a href="/A080962/b080962.txt">Table of n, a(n) for n = 0..300</a>
%H A080962 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (10,-24).
%F A080962 a(n) = 6*a(n-1) + 5*4^(n-1).
%F A080962 a(n) = (7/2)*6^n - (5/2)*4^n.
%F A080962 G.f.: (1+x)/((1-4*x)*(1-6*x)). - _Vincenzo Librandi_, Aug 06 2013
%F A080962 E.g.f.: exp(4*x)*(7*exp(2*x) - 5). - _Stefano Spezia_, Jul 23 2024
%t A080962 CoefficientList[Series[(1 + x) / ((1 - 4 x) (1 - 6 x)), {x, 0, 30}], x] (* _Vincenzo Librandi_, Aug 06 2013 *)
%t A080962 LinearRecurrence[{10,-24},{1,11},20] (* _Harvey P. Dale_, Sep 06 2016 *)
%o A080962 (Magma) [(7/2)*6^n-(5/2)*4^n: n in [0..25]]; // _Vincenzo Librandi_, Aug 06 2013
%Y A080962 Cf. A080960, A080961, A081033.
%K A080962 nonn,easy
%O A080962 0,2
%A A080962 _Paul Barry_, Mar 03 2003