3*(n+6)*(n+7)^5*(253440*n^6+7307520*n^5+87082844*n^4+548951572*n^3+1930649871*n^2+3592449603*n+2764091850)*a(n+7)-2*(n+6)^2*(506880*n^10+28047360*n^9+700856248*n^8+10411828884*n^7+101802827282*n^6+684318542833*n^5+3201618665019*n^4+10290673485368*n^3+21738816289305*n^2+27241941825099*n+15370260466050)*a(n+6)-4*(227082240*n^12+14722498560*n^11+436275917824*n^10+7813074389568*n^9+94170285558996*n^8+804694060036652*n^7+4998272254760385*n^6+22736148289423677*n^5+75161757558445403*n^4+176086078522504695*n^3+277474176765334464*n^2+264033656508962200*n+114726179444505000)*a(n+5)-16*(n+5)*(709632000*n^11+40685568000*n^10+1056222224960*n^9+16388880772960*n^8+168877221253096*n^7+1213373365383020*n^6+6202559449951626*n^5+22556472442093689*n^4+57185449404845167*n^3+96246199242579326*n^2+96774976615875656*n+44035639758605200)*a(n+4)+128*(n+4)*(n+5)*(56770560*n^10+2885836800*n^9+66012290176*n^8+895159262080*n^7+7973417220216*n^6+48777657780440*n^5+207710128672418*n^4+608433163315014*n^3+1174211842757563*n^2+1349006357335429*n+700853612250300)*a(n+3)+1024*(n+3)*(n+4)*(n+5)*(652861440*n^9+29596385280*n^8+591344542144*n^7+6834894297632*n^6+50367024267368*n^5+245443270375532*n^4+791155087931786*n^3+1627222171359029*n^2+1938757854618565*n+1020127273159500)*a(n+2)+32768*(n+2)*(n+3)*(n+4)*(n+5)*(93265920*n^8+3808358400*n^7+67239249472*n^6+670073926176*n^5+4120257368012*n^4+16000102945924*n^3+38306479297911*n^2+51692744225465*n+30117761821500)*a(n+1)+7864320*(n+1)*(n+2)*(n+3)*(n+4)*(n+5)*(2*n+5)*(253440*n^6+8828160*n^5+127422044*n^4+975426948*n^3+4176878451*n^2+9486993677*n+8930786700)*a(n)=0