-(n+5)^4*(35*n^2+280*n+552)*a(n+5)-(n+4)*(105*n^5+2310*n^4+20101*n^3+86752*n^2+186280*n+159744)*a(n+4)+8*(1750*n^6+42000*n^5+418900*n^4+2223255*n^3+6624640*n^2+10511037*n+6939882)*a(n+3)+144*(n+3)*(1225*n^5+23275*n^4+174685*n^3+648845*n^2+1196098*n+877680)*a(n+2)+6912*(n+2)*(n+3)*(105*n^4+1575*n^3+8551*n^2+19947*n+17078)*a(n+1)+27648*(n+1)*(n+2)^2*(n+3)*(35*n^2+350*n+867)*a(n)=0