a:= n-> coeff(series(-(40960*x^103 -499712*x^102 -1134592*x^101 
-442368*x^100 +3850240*x^99 +11959296*x^98 +6347264*x^97 +5231616*x^96 
+19596800*x^95 +41260032*x^94 -42359808*x^93 -299165888*x^92 
-193581824*x^91 +135022912*x^90 +397899008*x^89 -421459904*x^88 
-19882528*x^87 +1133098368*x^86 +650839424*x^85 -1187782704*x^84 
-3550094912*x^83 -859861424*x^82 +171434288*x^81 +3540323584*x^80 
+6341744896*x^79 +2840824112*x^78 -256282272*x^77 -6257692072*x^76 
-7994476384*x^75 -3433583302*x^74 +3718372488*x^73 +8507510184*x^72 
+10994645936*x^71 +4144442504*x^70 -1285954980*x^69 -13833503441*x^68 
-15706079138*x^67 +12746915031*x^66 -8184490624*x^65 +11290359488*x^64 
+6111422380*x^63 -10044426319*x^62 +7217552896*x^61 -1329219385*x^60 
-3106043514*x^59 -244555436*x^58 +894438400*x^57 -2671019736*x^56 
+1637289412*x^55 +741712910*x^54 -1409328072*x^53 +1287022734*x^52 
+914296510*x^51 -925490649*x^50 +336185672*x^49 -213958738*x^48 
-261220130*x^47 -55966465*x^46 +133445402*x^45 -120338962*x^44 
-2263260*x^43 +166230685*x^42 -128062018*x^41 +55971957*x^40 
-15475068*x^39 +31124815*x^38 -40780600*x^37 +32672234*x^36 
-18329334*x^35 +4774682*x^34 -1837580*x^33 +3330485*x^32 -3376284*x^31 
+1649162*x^30 +1151560*x^29 -1474523*x^28 +271750*x^27 +82483*x^26 
+42912*x^25 -349942*x^24 +260014*x^23 -90278*x^22 +806*x^21 +2483*x^20 
+26192*x^19 -20552*x^18 +8548*x^17 +5722*x^16 -5206*x^15 -1217*x^14 
+1914*x^13 -426*x^12 -1032*x^11 +667*x^10 +142*x^9 -127*x^8 +12*x^7 
+71*x^6 -38*x^5 -5*x^4 +2*x^3 -2*x+1) / (32768*x^111 -638976*x^110 
-147456*x^109 -598016*x^108 +2072576*x^107 -16334848*x^106 
-32090112*x^105 -5390336*x^104 +125764608*x^103 +336332800*x^102 
+775680*x^101 -643775104*x^100 -1247173120*x^99 -507985920*x^98 
+1625916416*x^97 +1199547008*x^96 -873429888*x^95 -917453568*x^94 
-256645888*x^93 +17284576448*x^92 -3775809984*x^91 -20073902208*x^90 
-23156381152*x^89 +9594552768*x^88 +39538737280*x^87 -2138271376*x^86 
+85619334368*x^85 -67515117832*x^84 -86959513584*x^83 
-26393904568*x^82 +49043810752*x^81 +178889985352*x^80 
-187052573520*x^79 +27815619248*x^78 -64190674152*x^77 
+27969336172*x^76 +242015041136*x^75 -315323503006*x^74 
+66716904120*x^73 -11849130278*x^72 -71794142484*x^71 
+186255414104*x^70 -117454962192*x^69 +325772211*x^68 
+80933216994*x^67 -51131363145*x^66 +30533896168*x^65 
-23094011240*x^64 -34421540856*x^63 +44043642839*x^62 -3130132000*x^61 
-21106999263*x^60 +24024888982*x^59 -9813889024*x^58 +1409536700*x^57 
+7402627336*x^56 -9816681080*x^55 +5501510072*x^54 -2800795752*x^53 
+1867431258*x^52 -5107852846*x^51 +3448739747*x^50 +43822628*x^49 
-989263020*x^48 +1172789150*x^47 -965668541*x^46 +689873418*x^45 
-109978976*x^44 +170216976*x^43 -322101173*x^42 +383270050*x^41 
-134775887*x^40 +279988*x^39 -19493351*x^38 +29636824*x^37 
-24419470*x^36 +14129418*x^35 -4996914*x^34 -13116400*x^33 
+6733929*x^32 +4078604*x^31 -5437346*x^30 -1234216*x^29 +3926573*x^28 
-503966*x^27 -1135173*x^26 +625628*x^25 +371322*x^24 -365946*x^23 
+104764*x^22 +24786*x^21 -25701*x^20 -26452*x^19 +43928*x^18 
-26956*x^17 -4192*x^16 +11170*x^15 -1027*x^14 -4610*x^13 +1806*x^12 
+1564*x^11 -1399*x^10 -14*x^9 +289*x^8 -76*x^7 -97*x^6 +54*x^5 +7*x^4 
-6*x^3 +2*x^2 +2*x-1), x, n+1), x, n): 
seq(a(n), n=0..40);