%I A094314
%S A094314 1,0,1,0,0,2,1,0,3,2,2,8,4,8,2,13,30,40,20,15,2,80,192,210,152,60,
%T A094314 24,2,579,1344,1477,994,469,140,35,2,4738,10800,11672,7888,3660,
%U A094314 1232,280,48,2
%N A094314 Triangle read by rows: T(n,k) = number of ways of seating n couples around 
               a circular table so that exactly k married couples are adjacent (0 
               <= k <= n).
%C A094314 The men and women alternate. The n-th row sums to n!.
%D A094314 Anthony C. Robin, Circular Wife Swapping, The Mathematical Gazette, November 
               2006.
%Y A094314 Essentially a mirror image of A058087, which has much more information. 
               Diagonals give A000179, A000425, A000033, A000159, A000181, etc.
%Y A094314 Sequence in context: A019586 A063942 A106384 this_sequence A036864 A058604 
               A072661
%Y A094314 Adjacent sequences: A094311 A094312 A094313 this_sequence A094315 A094316 
               A094317
%K A094314 nonn,tabl
%O A094314 0,6
%A A094314 N. J. A. Sloane (njas(AT)research.att.com), based on a suggestion from 
               Anthony Robin (anthony_robin(AT)hotmail.com), Jun 02 2004