# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a131562 Showing 1-1 of 1 %I A131562 #13 Sep 22 2024 04:33:38 %S A131562 1,-2,2,-2,4,-10,22,-44,86,-170,340,-682,1366,-2732,5462,-10922,21844, %T A131562 -43690,87382,-174764,349526,-699050,1398100,-2796202,5592406, %U A131562 -11184812,22369622,-44739242,89478484,-178956970,357913942,-715827884,1431655766,-2863311530 %N A131562 a(n)= -3a(n-1) -3a(n-2)-2a(n-3), a(0)=1, a(1)=-2, a(2)=2. %H A131562 Harvey P. Dale, Table of n, a(n) for n = 0..1000 %H A131562 Index entries for linear recurrences with constant coefficients, signature (-3,-3,-2). %F A131562 |v(n)| = 2^n+A130772(n); 2*|v(n)|-|v(n+1)|= 2*A057079(n), where v(n)=a(n+1)-a(n) are first differences. %F A131562 O.g.f.: (1+x-x^2)/((1+2*x)*(1+x+x^2)). a(n)=(-1)^n*A130707(n). - _R. J. Mathar_, Jul 07 2008 %F A131562 Binomial transform yields A130151 without the first two terms. - _R. J. Mathar_, Jul 07 2008 %t A131562 LinearRecurrence[{-3,-3,-2},{1,-2,2},40] (* _Harvey P. Dale_, Jan 11 2017 *) %Y A131562 Cf. A130707. %K A131562 sign,easy %O A131562 0,2 %A A131562 _Paul Curtz_, Aug 27 2007 %E A131562 Edited by _R. J. Mathar_, Jul 07 2008 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE