|
%I #14 Jun 13 2015 00:51:07
%S 6,13,28,58,120,244,496,1000,2016,4048,8128,16288,32640,65344,130816,
%T 261760,523776,1047808,2096128,4192768,8386560,16774144,33550336,
%U 67102720,134209536,268423168,536854528,1073717248,2147450880
%N a(n) = A000225(n+3)-A052955(n).
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (2,2,-4).
%F a(2n) = A006516(n+2); a(2n+1) = A086221(n+1).
%F G.f.: ( 6+x-10*x^2 ) / ( (2*x-1)*(2*x^2-1) ). - _R. J. Mathar_, Sep 15 2012
%F a(n) = 2^(n+3)-((5-(-1)^n)/2)*2^((2*n-1+(-1)^n)/4). - _Luce ETIENNE_, Sep 23 2014
%p f:=n->2^(n+3)-((5-(-1)^n)/2)*2^((2*n-1+(-1)^n)/4);
%Y Cf. A000225, A052955, A055010, A086221.
%K nonn,easy
%O 0,1
%A _Marco Matosic_, Jul 27 2003
%E Edited and extended by _David Wasserman_, Feb 17 2005
|
