%I #12 Jun 13 2015 00:51:19

%S 1,3,7,15,19,27,31,39,43,51,55,63,67,75,79,87,91,99,103,111,115,123,

%T 127,135,139,147,151,159,163,171,175,183,187,195,199,207,211,219,223,

%U 231,235,243,247,255,259,267,271,279,283,291,295,303,307,315,319,327,331

%N Expansion of (1+2x+3x^2+6x^3)/((1+x)(1-x)^2).

%C mod(A092899(n),4)=1,3,3,3,... = sum{k=0..n, mod(2^k,4)} Partial sums of 1,2,4,8,4,8,4,8....

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,-1).

%F a(n)=4floor((n+1)/2)+4n-5+6*0^n; a(n)=sum{k=0...n, mod(A078008(k), 4)}+sum{k=0..n, 2*mod(A001045(k), 4)}.

%F For n > 0, a(n) = 6*n - 4 - (-1)^n; a(n+3) = a(n+2) + a(n+1) - a(n) - _Warut Roonguthai_, Oct 19 2005

%K easy,nonn

%O 0,2

%A _Paul Barry_, Mar 12 2004