%rek.tex: 
%%a Plain TeX file by Shalosh B. Ekhad and Doron Zeilberger (x pages)

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\centerline
{\bf Title1 }
\centerline
{\bf Title2}
\bigskip
\centerline
{\it Shalosh B. EKHAD and Doron ZEILBERGER}


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

\bigskip
\hrule
\bigskip
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. \hfill\break
Email: {\tt ShaloshBEkhad at gmail dot com}   \quad .
\bigskip
Doron Zeilberger, Department of Mathematics, Rutgers University (New Brunswick), Hill Center-Busch Campus, 110 Frelinghuysen
Rd., Piscataway, NJ 08854-8019, USA. \hfill\break
Email: {\tt DoronZeil at gmail  dot com}   \quad .


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