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 A053565 #23 Sep 08 2022 08:45:00 %S A053565 -2,-1,4,20,64,176,448,1088,2560,5888,13312,29696,65536,143360,311296, %T A053565 671744,1441792,3080192,6553600,13893632,29360128,61865984,130023424, %U A053565 272629760,570425344,1191182336,2483027968,5167382528,10737418240 %N A053565 a(n) = 2^(n-1)*(3*n-4). %D A053565 A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 189, 194-196. %H A053565 Vincenzo Librandi, <a href="/A053565/b053565.txt">Table of n, a(n) for n = 0..2000</a> %H A053565 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (4,-4). %F A053565 a(n) = 4*a(n-1) - 4*a(n-2), with a(0) = -2, a(1) = -1. %F A053565 G.f.: -(2-7*x)/(1-2*x)^2. - _Colin Barker_, Apr 07 2012 %F A053565 E.g.f.: (3*x - 2)*exp(2*x). - _G. C. Greubel_, May 16 2019 %t A053565 Table[2^(n-1)*(3*n-4), {n,0,30}] (* _G. C. Greubel_, May 16 2019 *) %o A053565 (Magma) [2^(n-1)*(3*n-4): n in [0..30]]; // _Vincenzo Librandi_, Sep 26 2011 %o A053565 (PARI) vector(30, n, n--; 2^(n-1)*(3*n-4)) \\ _G. C. Greubel_, May 16 2019 %o A053565 (Sage) [2^(n-1)*(3*n-4) for n in (0..30)] # _G. C. Greubel_, May 16 2019 %o A053565 (GAP) List([0..30], n-> 2^(n-1)*(3*n-4)) # _G. C. Greubel_, May 16 2019 %Y A053565 Cf. A023444. %Y A053565 Cf. A027992, A048496. %K A053565 sign,easy %O A053565 0,1 %A A053565 _Barry E. Williams_, Jan 17 2000