Search: id:A011818
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%I A011818
%S A011818 1,3,16,115,1056,11774,154624,2337507,39984640,763546234,16101629952,
%T A011818 371644257582,9319104528384,252270887452380,7332475985461248,
%U A011818 227761317947788323,7529455986838732800,263948439074152148450
%N A011818 Normalized volume of center slice of n-dimensional cube: 2^n * n! * Vol({ 
               x\in [ 0,1 ]: sum_{i=1}^n n/2 <= x_i <= (n+1)/2 }).
%F A011818 V(d) = sum_{k=1}^{d-1} {d choose k-1} A_{d, k} where A_{k, d} denotes 
               the Eulerian number (permutations of a d-set with k-1 descents) - 
               see A008292.
%F A011818 Restated: a(n) = Sum_{k=1..n} C(n,k-1)*A008292(n,k) for n>=1.
%Y A011818 Cf. A104098, A008292.
%Y A011818 Sequence in context: A042437 A159606 A036244 this_sequence A036248 A111555 
               A074522
%Y A011818 Adjacent sequences: A011815 A011816 A011817 this_sequence A011819 A011820 
               A011821
%K A011818 nonn
%O A011818 1,2
%A A011818 Guenter M. Ziegler (ziegler(AT)math.tu-berlin.de)
%E A011818 More terms from Paul Hanna, Mar 15 2006

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