%I A000563 M4916 N2109
%S A000563 13,192,1085,3880,10656,24626,50380,94128,163943,270004,424839,643568,
%T A000563 944146,1347606,1878302,2564152,3436881,4532264,5890369,7555800,9577940,
%U A000563 12011194,14915232,18355232,22402123,27132828,32630507,38984800,46292070
%N A000563 Number of discordant permutations.
%D A000563 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A000563 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000563 S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques 
               Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 
               1992.
%D A000563 J. Riordan, Discordant permutations, Scripta Math., 20 (1954), 14-23.
%H A000563 S. Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/MasterThesis.pdf">
               Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures</
               a>, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 
               1992.
%H A000563 S. Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/FonctionsGeneratrices.pdf">
               1031 Generating Functions and Conjectures</a>, Universit\'{e} du 
               Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
%F A000563 G.f.:-x^5(8x^5-6x^4+10x^3-128x^2-114x-13)/((1-x)^6).
%F A000563 a(n)=81/40n^5-135/4n^4+1719/8n^3-2487/4n^2+3463/5n, n>4.
%p A000563 r := n->81/40*n^5-135/4*n^4+1719/8*n^3-2487/4*n^2+3463/5*n; seq(r(n), 
               n=5..40);
%p A000563 A000563:=-(-13-114*z-128*z**2+10*z**3-6*z**4+8*z**5)/(z-1)**6; [Conjectured 
               by S. Plouffe in his 1992 dissertation.]
%Y A000563 Sequence in context: A055613 A123808 A103731 this_sequence A159196 A015690 
               A027773
%Y A000563 Adjacent sequences: A000560 A000561 A000562 this_sequence A000564 A000565 
               A000566
%K A000563 nonn
%O A000563 3,1
%A A000563 N. J. A. Sloane (njas(AT)research.att.com).
%E A000563 More terms, formulae and Maple code from Barbara Haas Margolius (margolius(AT)math.csuohio.edu) 
               2/17/01