http://openproblemgarden.org/op/monotone_4_term_arithmetic_progressions Comments for "Monotone 4-term Arithmetic Progressions" en http://openproblemgarden.org/op/monotone_4_term_arithmetic_progressions <table cellspacing="10"> <tr> <td> Author(s): <a href="/category/davis_j_a">Davis</a>; <a href="/category/entringer_r_c">Entringer</a>; <a href="/category/graham">Graham</a>; <a href="/category/simmons_g_j">Simmons</a>&nbsp;&nbsp; </td> <td align=right> Subject: <a href="/category/combinatorics">Combinatorics</a>&nbsp;&nbsp; </td> </tr> <tr> <td colspan=2> <table border=1 cellspacing="5"> <tr><td> <div class="envtheorem"><b>Question</b>&nbsp;&nbsp; Is it true that every permutation of positive integers must contain monotone 4-term arithmetic progressions? </div> </tr></td> </table> </td> </tr> </table> Davis, James A. Entringer, Roger C. Graham, Ronald L. Simmons, Gustavus J. monotone arithmetic progression permutation Combinatorics http://openproblemgarden.org/op/monotone_4_term_arithmetic_progressions#comment Wed, 03 Oct 2007 18:09:23 +0200 vjungic 618 at http://openproblemgarden.org