Search: id:A000596
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%I A000596 M3686 N1505
%S A000596 4,49,273,1023,3003,7462,16422,32946,61446,108031,180895,290745,
%T A000596 451269,679644,997084,1429428,2007768,2769117,3757117,5022787,6625311
%N A000596 Central factorial numbers.
%D A000596 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A000596 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000596 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 A000596 J. Riordan, Combinatorial Identities, Wiley, 1968, p. 217.
%H A000596 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 A000596 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.
%H A000596 <a href="Sindx_Fa.html#factorial">Index entries for sequences related 
               to factorial numbers</a>
%F A000596 a(n) = 1/360*n*(n-1)*(n-2)*(2*n-1)*(2*n-3)*(5*n+1)
%p A000596 A000596:=-(4+21*z+14*z**2+z**3)/(z-1)**7; [Conjectured by S. Plouffe 
               in his 1992 dissertation.]
%Y A000596 a(n+1/2) = 1/16*A001823(n)
%Y A000596 Column 2 of triangle A008955.
%Y A000596 Sequence in context: A166826 A100256 A163944 this_sequence A113525 A064751 
               A045787
%Y A000596 Adjacent sequences: A000593 A000594 A000595 this_sequence A000597 A000598 
               A000599
%K A000596 nonn
%O A000596 3,1
%A A000596 N. J. A. Sloane (njas(AT)research.att.com).

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