14866412
(x^1 + x^2 + x^3 + ... + x^33)^6 =
x^6 + 6 x^7 + 21 x^8 + 56 x^9 + 126 x^10 + 252 x^11 + 462 x^12 + 792 x^13 + 1287 x^14 + 2002 x^15 + 3003 x^16 + 4368 x^17 + 6188 x^18 + 8568 x^19 + 11628 x^20 + 15504 x^21 + 20349 x^22 + 26334 x^23 + 33649 x^24 + 42504 x^25 + 53130 x^26 + 65780 x^27 + 80730 x^28 + 98280 x^29 + 118755 x^30 + 142506 x^31 + 169911 x^32 + 201376 x^33 + 237336 x^34 + 278256 x^35 + 324632 x^36 + 376992 x^37 + 435897 x^38 + 501936 x^39 + 575721 x^40 + 657882 x^41 + 749062 x^42 + 849912 x^43 + 961086 x^44 + 1083236 x^45 + 1217007 x^46 + 1363032 x^47 + 1521927 x^48 + 1694286 x^49 + 1880676 x^50 + 2081632 x^51 + 2297652 x^52 + 2529192 x^53 + 2776661 x^54 + 3040416 x^55 + 3320757 x^56 + 3617922 x^57 + 3932082 x^58 + 4263336 x^59 + 4611706 x^60 + 4977132 x^61 + 5359467 x^62 + 5758472 x^63 + 6173811 x^64 + 6605046 x^65 + 7051632 x^66 + 7512912 x^67 + 7988112 x^68 + 8476336 x^69 + 8976561 x^70 + 9487632 x^71 + 10008272 x^72 + 10537092 x^73 + 11072601 x^74 + 11613216 x^75 + 12157272 x^76 + 12703032 x^77 + 13248697 x^78 + 13792416 x^79 + 14332296 x^80 + 14866412 x^81 + 15392817 x^82 + 15909552 x^83 + 16414656 x^84 + 16906176 x^85 + 17382177 x^86 + 17840752 x^87 + 18280032 x^88 + 18698196 x^89 + 19093481 x^90 + 19464192 x^91 + 19808712 x^92 + 20125512 x^93 + 20413161 x^94 + 20670336 x^95 + 20895832 x^96 + 21088572 x^97 + 21247617 x^98 + 21372176 x^99 + 21461616 x^100 + 21515472 x^101 + 21533457 x^102 + 21515472 x^103 + 21461616 x^104 + 21372176 x^105 + 21247617 x^106 + 21088572 x^107 + 20895832 x^108 + 20670336 x^109 + 20413161 x^110 + 20125512 x^111 + 19808712 x^112 + 19464192 x^113 + 19093481 x^114 + 18698196 x^115 + 18280032 x^116 + 17840752 x^117 + 17382177 x^118 + 16906176 x^119 + 16414656 x^120 + 15909552 x^121 + 15392817 x^122 + 14866412 x^123 + 14332296 x^124 + 13792416 x^125 + 13248697 x^126 + 12703032 x^127 + 12157272 x^128 + 11613216 x^129 + 11072601 x^130 + 10537092 x^131 + 10008272 x^132 + 9487632 x^133 + 8976561 x^134 + 8476336 x^135 + 7988112 x^136 + 7512912 x^137 + 7051632 x^138 + 6605046 x^139 + 6173811 x^140 + 5758472 x^141 + 5359467 x^142 + 4977132 x^143 + 4611706 x^144 + 4263336 x^145 + 3932082 x^146 + 3617922 x^147 + 3320757 x^148 + 3040416 x^149 + 2776661 x^150 + 2529192 x^151 + 2297652 x^152 + 2081632 x^153 + 1880676 x^154 + 1694286 x^155 + 1521927 x^156 + 1363032 x^157 + 1217007 x^158 + 1083236 x^159 + 961086 x^160 + 849912 x^161 + 749062 x^162 + 657882 x^163 + 575721 x^164 + 501936 x^165 + 435897 x^166 + 376992 x^167 + 324632 x^168 + 278256 x^169 + 237336 x^170 + 201376 x^171 + 169911 x^172 + 142506 x^173 + 118755 x^174 + 98280 x^175 + 80730 x^176 + 65780 x^177 + 53130 x^178 + 42504 x^179 + 33649 x^180 + 26334 x^181 + 20349 x^182 + 15504 x^183 + 11628 x^184 + 8568 x^185 + 6188 x^186 + 4368 x^187 + 3003 x^188 + 2002 x^189 + 1287 x^190 + 792 x^191 + 462 x^192 + 252 x^193 + 126 x^194 + 56 x^195 + 21 x^196 + 6 x^197 + x^198
找到x的81次方的系数为14866412 ,即是所要求的解.