%I A110311
%S A110311 1,6,29,138,660,3162,15151,72594,347819,1666500,7984680,38256900,183299821,
%T A110311 878242206,4207911209,20161313838,96598657980,462831976062,2217561222331,
%U A110311 10624974135594,50907309455639,243911573142600,1168650556257360,5599341208144200
%V A110311 1,-6,29,-138,660,-3162,15151,-72594,347819,-1666500,7984680,-38256900,
               183299821,
%W A110311 -878242206,4207911209,-20161313838,96598657980,-462831976062,2217561222331,
%X A110311 -10624974135594,50907309455639,-243911573142600,1168650556257360,-5599341208144200
%N A110311 Expansion of 1/((x^2+5*x+1)*(x^2+x+1)).
%C A110311 In reference to the program code, A004254(n+1) = 1ibaseiseq[A*B](n). 
               Superseeker finds: a(n) + a(n+1) + a(n+2) = ((-1)^n)*A004254(n+3)
%F A110311 a(n+2) = - 5*a(n+1) - a(n) + ((-1)^n)*A109265(n+1)/2
%p A110311 seriestolist(series(1/((x^2+5*x+1)*(x^2+x+1)), x=0,25)); -or- Floretion 
               Algebra Multiplication Program, FAMP Code: 1jbasejseq[A*B] with A 
               = - 'j + 'k - j' + k' - 'ii' - 'ij' - 'ik' - 'ji' - 'ki' and B = 
               + .5'i + .5'ii' + .5'ij' + .5'ik'
%Y A110311 Cf. A004254, A110307, A110308, A110309, A110310.
%Y A110311 Sequence in context: A026866 A045445 A026884 this_sequence A030221 A009153 
               A012325
%Y A110311 Adjacent sequences: A110308 A110309 A110310 this_sequence A110312 A110313 
               A110314
%K A110311 easy,sign
%O A110311 0,2
%A A110311 Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Jul 19 2005