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 A155701 #24 Dec 05 2023 14:38:38 %S A155701 3,4,8,24,88,344,1368,5464,21848,87384,349528,1398104,5592408, %T A155701 22369624,89478488,357913944,1431655768,5726623064,22906492248, %U A155701 91625968984,366503875928,1466015503704,5864062014808,23456248059224,93824992236888,375299968947544 %N A155701 a(n) = (4^n + 8)/3. %H A155701 Vincenzo Librandi, <a href="/A155701/b155701.txt">Table of n, a(n) for n = 0..1000</a> %H A155701 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (5,-4). %F A155701 a(n) = 3 + A002450(n). %F A155701 a(n) = 5*a(n-1) - 4*a(n-2) = 4*a(n-1) - 8. %F A155701 a(n) = A154879(2n) = A154890(2n). %F A155701 a(n+1) - a(n) = A000302(n). %F A155701 a(n+1) = 4*A047849(n) = 4*A078008(2n). %F A155701 G.f.: (3-11*x)/((4*x-1)*(x-1)). - _R. J. Mathar_, Jul 23 2009 %p A155701 A155701 := proc(n) (4^n+8)/3 ; end: seq(A155701(n),n=0..80) ; # _R. J. Mathar_, Jul 23 2009 %t A155701 A155701[n_]:=(4^n+8)/3;Array[A155701,50,0] (* _Paolo Xausa_, Dec 05 2023 *) %o A155701 (Magma) [(4^n+8)/3: n in [0..35]]; // _Vincenzo Librandi_, Jul 24 2011 %K A155701 nonn,easy %O A155701 0,1 %A A155701 _Paul Curtz_, Jan 25 2009 %E A155701 Edited and extended by _R. J. Mathar_, Jul 23 2009