%I A091004
%S A091004 0,1,2,8,20,68,188,596,1724,5300,15644,47444,141308,425972,1273820,3829652,
%T A091004 11472572,34450484,103285916,309988820,929704316,2789637236,8367863132,
               25105686548,
%U A091004 75312865340,225946984628,677824176668,2033506084436
%V A091004 0,1,-2,8,-20,68,-188,596,-1724,5300,-15644,47444,-141308,425972,-1273820,
               3829652,
%W A091004 -11472572,34450484,-103285916,309988820,-929704316,2789637236,-8367863132,
               25105686548,
%X A091004 -75312865340,225946984628,-677824176668,2033506084436
%N A091004 Expansion of x(1-x)/((1-2x)(1+3x)).
%C A091004 2^n=A091003(n)+3*A091004(n)+6*A091005(n). Inverse binomial transform 
               of A091001.
%F A091004 a(n)=2^n/10-4(-3)^n/15+0^n/6
%F A091004 a(n+1)= Sum_{k, 0<=k<=n} A112555(n,k)*(-3)^k . [From Philippe DELEHAM 
               (kolotoko(AT)wanadoo.fr), Sep 11 2009]
%Y A091004 Sequence in context: A099177 A100097 A133467 this_sequence A005559 A001471 
               A162585
%Y A091004 Adjacent sequences: A091001 A091002 A091003 this_sequence A091005 A091006 
               A091007
%K A091004 easy,sign
%O A091004 0,3
%A A091004 Paul Barry (pbarry(AT)wit.ie), Dec 13 2003