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 A036548 #20 Aug 29 2024 22:07:20 %S A036548 1,129,513,1665,5121,15489,46593,139905,419841,1259649,3779073, %T A036548 11337345,34012161,102036609,306109953,918329985,2754990081, %U A036548 8264970369,24794911233,74384733825,223154201601,669462604929,2008387814913,6025163444865,18075490334721,54226471004289 %N A036548 a(n) = T(7,n), array T given by A048471. %C A036548 n-th difference of a(n), a(n-1), ..., a(0) is 2^(n+6) for n=1, 2, 3, ... %H A036548 Vincenzo Librandi, <a href="/A036548/b036548.txt">Table of n, a(n) for n = 0..1000</a> %H A036548 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (4,-3). %F A036548 a(n) = 64*3^n - 63. - _Ralf Stephan_, Feb 17 2004 %F A036548 From _Vincenzo Librandi_, Nov 11 2011: (Start) %F A036548 a(n) = 3*a(n-1) + 126. %F A036548 a(n) = 4*a(n-1) - 3*a(n-2). %F A036548 G.f.: (1+125*x)/((1-x)*(1-3*x)). (End) %F A036548 E.g.f.: exp(x)*(64*exp(2*x) - 63). - _Elmo R. Oliveira_, Aug 29 2024 %o A036548 (Magma) [64*3^n-63: n in [0..30]]; // _Vincenzo Librandi_, Nov 11 2011 %Y A036548 Cf. A048471. %K A036548 nonn,easy %O A036548 0,2 %A A036548 _Clark Kimberling_