Title1 Title2 Shalosh B. EKHAD and Doron ZEILBERGER

1048576 F^{12}x^{15}+3538944 F^{12}x^{14}−18874368 F^{11}x^{15}+16777216 F^{10}x^{16}+4478976 F^{12}x^{13}−66060288 F^{11}x^{14}+214958080 F^{10}x^{15}−117440512 F^{9}x^{16}+67108864 F^{8}x^{17}+2519424 F^{12}x^{12}−88363008 F^{11}x^{13}+582942720 F^{10}x^{14}−93323264 F^{9}x^{15}−478150656 F^{8}x^{16}+268435456 F^{7}x^{17}+ 531441 F^{12}x^{11}−54867456 F^{11}x^{12}+635247616 F^{10}x^{13}−229048320 F^{9}x^{14}−1229717504 F^{8}x^{15}−889192448 F^{7}x^{16}+469762048 F^{6}x^{17}−14762250 F^{11}x^{11}+280398384 F^{10}x^{12}−1211943936 F^{9}x^{13}+6506659840 F^{8}x^{14}−6580338688 F^{7}x^{15} +482344960 F^{6}x^{16}+469762048 F^{5}x^{17}−1062882 F^{11}x^{10}+14413788 F^{10}x^{11}−1505183568 F^{9}x^{12}+22632078272 F^{8}x^{13}−3468558336 F^{7}x^{14}−11682578432 F^{6}x^{15}+3678404608 F^{5}x^{16}+293601280 F^{4}x^{17}−16297524 F^{10}x^{10}−349623752 F^{9}x^{11}+24499113808 F^{8}x^{12}+10842914560 F^{7}x^{13}−30783494144 F^{6}x^{14}−9056419840 F^{5}x^{15}+3937927168 F^{4}x^{16}+ 117440512 F^{3}x^{17}−708588 F^{10}x^{9}+354329424 F^{9}x^{10}+8484967168 F^{8}x^{11}+10856808448 F^{7}x^{12}+62317434880 F^{6}x^{13}−60755634176 F^{5}x^{14}+6148583424 F^{4}x^{15}+1163919360 F^{3}x^{16}+29360128 F^{2}x^{17}+161307288 F^{9}x^{9}−2169663728 F^{8}x^{10}+5019297472 F^{7}x^{11} +272718637120 F^{6}x^{12}−31781393408 F^{5}x^{13}−42046171136 F^{4}x^{14}+17412317184 F^{3}x^{15}−425525248 F^{2}x^{16}+4194304 F x^{17}+2834352 F^{9}x^{8}−1791365868 F^{8}x^{9}+10326512928 F^{7}x^{10}+304885462336 F^{6}x^{11}+136202068480 F^{5}x^{12}−181067272448 F^{4}x^{13}+27756388352 F^{3}x^{14}−3794976768 F^{2}x^{15}−316735488 F x^{16}+262144 x^{17} −194491368 F^{8}x^{8}+9992414200 F^{7}x^{9}+111654026688 F^{6}x^{10}+219461570816 F^{5}x^{11}+106616392192 F^{4}x^{12}+23975314944 F^{3}x^{13}+22794256384 F^{2}x^{14}−10919641088 F x^{15}−50528256 x^{16}−984150 F^{8}x^{7}+2544166008 F^{7}x^{8}−12656088640 F^{6}x^{9}+140395599936 F^{5}x^{10}+949540282624 F^{4}x^{11}+98056395264 F^{3}x^{12}+116978552832 F^{2}x^{13}−11607773184 F x^{14}+4810260480 x^{15}−187649460 F^{7}x^{7}−8379760496 F^{6}x^{8}+42441186240 F^{5}x^{9}+1112127624384 F^{4}x^{10} +274994290176 F^{3}x^{11}−134528024576 F^{2}x^{12}−33879937024 F x^{13}−2207977472 x^{14}−2125764 F^{7}x^{6}+3030524244 F^{6}x^{7}−17750635008 F^{5}x^{8}+450056230976 F^{4}x^{9}+279633577984 F^{3}x^{10}−457608305664 F^{2}x^{11}+43040624640 F x^{12}−1123704832 x^{13}+643136976 F^{6}x^{6}−30562307768 F^{5}x^{7}+125791307776 F^{4}x^{8}−176093961856 F^{3}x^{9}−171045996544 F^{2}x^{10}−111269412864 F x^{11}+4972081152 x^{12}+1895400 F^{6}x^{5}−11484859248 F^{5}x^{6}+154302597760 F^{4}x^{7}−727554524288 F^{3}x^{8} +4323389696 F^{2}x^{9}−336643549184 F x^{10}+84394479616 x^{11}−629032176 F^{5}x^{5}+84474468016 F^{4}x^{6}−748567155840 F^{3}x^{7}+20811803072 F^{2}x^{8}+167590306816 F x^{9}+83986885632 x^{10}+5832 F^{5}x^{4}+11518738668 F^{4}x^{5}−359883491424 F^{3}x^{6}+426311718528 F^{2}x^{7}+420849985280 F x^{8}−96769157632 x^{9}+ 301482216 F^{4}x^{4}−77095573656 F^{3}x^{5}+538054261952 F^{2}x^{6}−138443655552 F x^{7}−87740795392 x^{8}−661203 F^{4}x^{3}−4839937416 F^{3}x^{4}+212658364480 F^{2}x^{5}−347562926912 F x^{6}+54195307008 x^{7}−75528882 F^{3}x^{3}+22244333952 F^{2}x^{4}−105480829952 F x^{5}+50289332544 x^{6}+342630 F^{3}x^{2}+745183440 F^{2}x^{3}+5333115152 F x^{4}+6162913728 x^{5}+10146276 F^{2}x^{2}+1652378400 F x^{3}+59702832 x^{4}−72900 F^{2}x−40804560 F x^{2}−559872 x^{3}−830520 F x+5832 F = 0 .

References

Shalosh B. Ekhad, c/o D. Zeilberger, Department of Mathematics, Rutgers University (New Brunswick), Hill Center-Busch Campus, 110 Frelinghuysen Rd., Piscataway, NJ 08854-8019, USA.

Email: ShaloshBEkhad at gmail dot com .

Doron Zeilberger, Department of Mathematics, Rutgers University (New Brunswick), Hill Center-Busch Campus, 110 Frelinghuysen Rd., Piscataway, NJ 08854-8019, USA.

Email: DoronZeil at gmail dot com .