# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a177844 Showing 1-1 of 1 %I A177844 #9 Jun 30 2023 15:33:04 %S A177844 279,3996,16008,64784,260640,1045568,4188288,16765184,67084800, %T A177844 268387328,1073645568,4294774784,17179484160,68718706688,274876366848, %U A177844 1099508547584,4398040350720,17592173723648,70368719536128 %N A177844 a(n) = 6*a(n-1)-8*a(n-2) for n > 3; a(0)=279, a(1)=3996, a(2)=16008, a(3)=64784. %C A177844 Related to Reverse and Add trajectory of 775 in base 2: a(n) = A077077(4*n+1)/6, i.e. one sixth of second quadrisection of A077077. %H A177844 Vincenzo Librandi, Table of n, a(n) for n = 0..1000 %H A177844 Index entries for linear recurrences with constant coefficients, signature (6, -8). %F A177844 a(n) = 4^(n+5)-47*2^(n+1) for n > 1. %F A177844 G.f.: (279+2322*x-5736*x^2+704*x^3) / ((1-2*x)*(1-4*x)). %F A177844 G.f. for the sequence starting at a(2): 8*x^2*(2001-3908*x)/((1-2*x)*(1-4*x)). %t A177844 CoefficientList[Series[(279 + 2322 x - 5736 x^2 + 704 x^3)/((1 - 2 x) (1 - 4 x)), {x, 0, 40}], x] (* _Vincenzo Librandi_, Sep 24 2013 *) %o A177844 (PARI) {m=19; v=concat([279, 3996, 16008, 64784], vector(m-4)); for(n=5, m, v[n]=6*v[n-1]-8*v[n-2]); v} %o A177844 (Magma) [279, 3996] cat [4^(n+5)-47*2^(n+1): n in [2..25]]; // _Vincenzo Librandi_, Sep 24 2013 %Y A177844 Cf. A077077 (Reverse and Add trajectory of 775 in base 2), A177843, A177845, A177846. %K A177844 nonn,easy %O A177844 0,1 %A A177844 _Klaus Brockhaus_, May 14 2010 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE