Search: id:A001823
Results 1-1 of 1 results found.

%I A001823 M4671 N1998
%S A001823 9,259,1974,8778,28743,77077,179452,375972,725781,1312311,2249170,
%T A001823 3686670,5818995,8892009,13211704,19153288,27170913,37808043,51708462,
%U A001823 69627922,92446431,121181181,157000116,201236140,255401965,321205599
%N A001823 Central factorial numbers.
%D A001823 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A001823 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001823 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 A001823 J. Riordan, Combinatorial Identities, Wiley, 1968, p. 217.
%H A001823 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 A001823 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 A001823 a(n) = 1/90*n*(n-1)*(2*n+1)*(2*n-1)*(2*n-3)*(10*n+7)
%p A001823 A001823:=-(9+196*z+350*z**2+84*z**3+z**4)/(z-1)**7; [Conjectured by S. 
               Plouffe in his 1992 dissertation.]
%t A001823 Table[1/90*n*(n - 1)*(2*n + 1)*(2*n - 1)*(2*n - 3)*(10*n + 7), {n, 2, 
               40}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), 
               Apr 15 2006
%Y A001823 a(n-1/2) = 16*A000596(n)
%Y A001823 Column 2 in triangle A008956.
%Y A001823 Sequence in context: A160073 A157575 A072158 this_sequence A117796 A117051 
               A003387
%Y A001823 Adjacent sequences: A001820 A001821 A001822 this_sequence A001824 A001825 
               A001826
%K A001823 nonn
%O A001823 2,1
%A A001823 N. J. A. Sloane (njas(AT)research.att.com).
%E A001823 More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), 
               Apr 15 2006

Search completed in 0.001 seconds