Search: id:A008968
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%I A008968
%S A008968 1,1,2,3,3,3,3,2,1,1,1,1,2,3,4,4,5,4,4,3,2,1,1,1,1,2,3,4,5,6,6,6,6,5,
%T A008968 4,3,2,1,1,1,1,2,3,4,5,7,7,8,8,8,7,7,5,4,3,2,1,1,1,1,2,3,4,5,7,8,9,10,
%U A008968 10,10,10,9,8,7,5,4,3,2,1,1,1,1,2,3,4,5,7,8,10,11,12,12,13,12
%N A008968 Triangle of distribution of rank sums: Wilcoxon's statistic.
%D A008968 F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied 
               Tables, Cambridge, 1966, p. 237.
%F A008968 Let f(r) = Product( (x^i-x^(r+1))/(1-x^i), i = 1..r-3) / x^((r-2)*(r-3)/
               2); then expanding f(r) in powers of x and taking coefficients gives 
               the successive rows of this triangle (with a different offset).
%Y A008968 Sequence in context: A110049 A097032 A127661 this_sequence A135715 A089326 
               A022923
%Y A008968 Adjacent sequences: A008965 A008966 A008967 this_sequence A008969 A008970 
               A008971
%K A008968 tabf,nonn,nice
%O A008968 6,3
%A A008968 N. J. A. Sloane (njas(AT)research.att.com).

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