%I A054344
%S A054344 9,1064,21656,197484,1143366,4927524,17240292,51631617,137044523,
%T A054344 330284988,735542444,1533609350,3024043008,5684167992,10249533240,
%U A054344 17821214019,30006185613,49097892704,78305096016
%N A054344 Number of ways of covering a 2n x 2n lattice by 2n^2 dominoes with exactly 
               6 horizontal (or vertical) dominoes.
%D A054344 P. W. Kasteleyn, The statistics of dimers on a lattice, Physica, 27 (1961), 
               1209-1225.
%D A054344 M. E. Fisher, Statistical mechanics of dimers on a plane lattice, Physical 
               Review, 124 (1961), 1664-1672.
%H A054344 <a href="Sindx_Do.html#domino">Index entries for sequences related to 
               dominoes</a>
%F A054344 a(n) = 1/720*n*(n+1)*(120*n^7-300*n^6-70*n^5+363*n^4+416*n^3-231*n^2-394*n-264)
%e A054344 a(3) = 1064 because we have 1064 ways to cover a 36 x 36 lattice with 
               exactly 6 horizontal (or vertical) dominoes and exactly 12 vertical 
               (or horizontal) dominoes.
%Y A054344 Cf. A004003, A002414, A038758.
%Y A054344 Sequence in context: A100601 A004809 A099127 this_sequence A048912 A036411 
               A075412
%Y A054344 Adjacent sequences: A054341 A054342 A054343 this_sequence A054345 A054346 
               A054347
%K A054344 nonn
%O A054344 2,1
%A A054344 Yong Kong (ykong(AT)curagen.com), May 06 2000