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 A036549 #18 Aug 29 2024 22:39:15 %S A036549 1,257,1025,3329,10241,30977,93185,279809,839681,2519297,7558145, %T A036549 22674689,68024321,204073217,612219905,1836659969,5509980161, %U A036549 16529940737,49589822465,148769467649,446308403201,1338925209857,4016775629825,12050326889729,36150980669441 %N A036549 a(n) = T(8,n), array T given by A048471. %C A036549 n-th difference of a(n), a(n-1), ..., a(0) is 2^(n+7) for n=1, 2, 3, ... %H A036549 Vincenzo Librandi, <a href="/A036549/b036549.txt">Table of n, a(n) for n = 0..1000</a> %H A036549 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (4,-3). %F A036549 From _Vincenzo Librandi_, Nov 11 2011: (Start) %F A036549 a(n) = 128*3^n - 127. %F A036549 a(n) = 3*a(n-1) + 254. %F A036549 a(n) = 4*a(n-1) - 3*a(n-2). %F A036549 G.f.: (1+253*x)/((1-x)*(1-3*x)). (End) %F A036549 E.g.f.: exp(x)*(128*exp(2*x) - 127). - _Elmo R. Oliveira_, Aug 29 2024 %o A036549 (Magma) [128*3^n-127: n in [0..30]]; // _Vincenzo Librandi_, Nov 11 2011 %Y A036549 Cf. A048471. %K A036549 nonn,easy %O A036549 0,2 %A A036549 _Clark Kimberling_