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 A242475 #22 May 21 2025 19:06:54 %S A242475 9,10,12,16,24,40,72,136,264,520,1032,2056,4104,8200,16392,32776, %T A242475 65544,131080,262152,524296,1048584,2097160,4194312,8388616,16777224, %U A242475 33554440,67108872,134217736,268435464,536870920,1073741832 %N A242475 a(n) = 2^n + 8. %H A242475 Vincenzo Librandi, <a href="/A242475/b242475.txt">Table of n, a(n) for n = 0..1000</a> %H A242475 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (3,-2). %F A242475 G.f.: (9 - 17*x)/((1 - x)*(1 - 2*x)). %F A242475 a(n) = 2*a(n-1) - 8 = 3*a(n-1) - 2*a(n-2). %F A242475 a(n) = A052548(n)+6 = A140504(n)+4 = A153972(n)+2. %F A242475 E.g.f.: exp(2*x) + 8*exp(x). - _Elmo R. Oliveira_, Nov 11 2023 %t A242475 Table[2^n + 8, {n, 0, 40}] (* or *) CoefficientList[Series[(9 - 17 x)/((1 - x) (1 - 2 x)),{x, 0, 30}], x] %t A242475 LinearRecurrence[{3,-2},{9,10},40] (* _Harvey P. Dale_, May 21 2025 *) %o A242475 (Magma) [2^n+8: n in [0..40]]; %Y A242475 Cf. A000051, A052548, A062709, A140504, A168614, A153972, A168415, A188165. %K A242475 nonn,easy %O A242475 0,1 %A A242475 _Vincenzo Librandi_, May 20 2014