%I #19 Dec 14 2023 05:12:01

%S 2,4,3,6,10,7,14,16,15,18,22,19,26,28,27,30,34,31,38,40,39,42,46,43,

%T 50,52,51,54,58,55,62,64,63,66,70,67,74,76,75,78,82,79,86,88,87,90,94,

%U 91,98,100,99,102,106,103,110,112,111,114,118,115,122,124,123,126,130,127,134,136

%N First differences have period 6: 2,-1,3,4,-3,7, 2,-1,3,4,-3,7, 2,-1,...

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,1,-1).

%F a(n+6) = a(n) + 12.

%F a(n) = a(n-1)+a(n-6)-a(n-7). G.f.: x*(5*x^6-3*x^5+4*x^4+3*x^3-x^2+2*x+2) / ((x-1)^2*(x+1)*(x^2-x+1)*(x^2+x+1)). - _Colin Barker_, Jul 31 2013

%t LinearRecurrence[{1,0,0,0,0,1,-1},{2,4,3,6,10,7,14},70] (* _Harvey P. Dale_, Jan 16 2015 *)

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_, Jun 15 2003