Search: id:A092865
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%I A092865
%S A092865 1,1,1,1,2,1,1,3,1,3,4,1,1,6,5,1,4,10,6,1,1,10,15,7,1,5,20,21,8,1,1,15,
%T A092865 35,28,9,1,6,35,56,36,10,1,1,21,70,84,45,11,1,7,56,126,120,55,12,1,1,28,
%U A092865 126,210,165,66,13,1,8,84,252,330,220,78,14,1,1,36,210,462,495
%V A092865 1,-1,-1,1,2,-1,1,-3,1,-3,4,-1,-1,6,-5,1,4,-10,6,-1,1,-10,15,-7,1,-5,20,
               -21,8,-1,-1,15,
%W A092865 -35,28,-9,1,6,-35,56,-36,10,-1,1,-21,70,-84,45,-11,1,-7,56,-126,120,-55,
               12,-1,-1,28,
%X A092865 -126,210,-165,66,-13,1,8,-84,252,-330,220,-78,14,-1,1,-36,210,-462,495
%N A092865 Nonzero elements in Klee's identity Sum[(-1)^k binomial[n,k]binomial[n+k,
               m],{k,0,n}] == (-1)^n binomial[n,m-n].
%H A092865 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               KleesIdentity.html">Klee's Identity</a>
%e A092865 1; -1; -1, 1; 2, -1; 1, -3, 1; -3, 4, -1; -1, 6, -5, 1; 4, -10, 6, -1; 
               ...
%t A092865 Flatten[Table[(-1)^n Binomial[n, m-n], {m, 0, 20}, {n, Ceiling[m/2], 
               m}]]
%Y A092865 Sequence in context: A136405 A035667 A102426 this_sequence A098925 A052920 
               A089141
%Y A092865 Adjacent sequences: A092862 A092863 A092864 this_sequence A092866 A092867 
               A092868
%K A092865 sign
%O A092865 0,5
%A A092865 Eric Weisstein (eric(AT)weisstein.com), Mar 07, 2004

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