%I A038758
%S A038758 16,281,1785,7175,22015,56406,126966,259170,490050,871255,1472471,
%T A038758 2385201,3726905,5645500,8324220,11986836,16903236,23395365,31843525,
%U A038758 42693035,56461251,73744946,95228050,121689750,154012950,193193091
%N A038758 Number of ways of covering a 2n X 2n lattice by 2n^2 dominoes with exactly 
               4 horizontal (or vertical) dominoes.
%D A038758 P. W. Kasteleyn, The statistics of dimers on a lattice, Physica, 27 (1961), 
               1209-1225.
%D A038758 M. E. Fisher, Statistical mechanics of dimers on a plane lattice, Physical 
               Review, 124 (1961), 1664-1672.
%H A038758 <a href="Sindx_Do.html#domino">Index entries for sequences related to 
               dominoes</a>
%F A038758 a(n) = 1/24*n*(n-1)*(n+1)*(12*n^3-11*n-10)
%e A038758 a(3) = 281 because we have 281 ways to cover a 4 X 4 lattice with exactly 
               4 horizontal dominoes and exactly 14 vertical dominoes.
%Y A038758 Cf. A004003, A002414, A054344.
%Y A038758 Sequence in context: A002303 A158610 A004382 this_sequence A027776 A099279 
               A039746
%Y A038758 Adjacent sequences: A038755 A038756 A038757 this_sequence A038759 A038760 
               A038761
%K A038758 nonn,easy
%O A038758 2,1
%A A038758 Yong Kong (ykong(AT)curagen.com), May 06 2000
%E A038758 More terms from James A. Sellers (sellersj(AT)math.psu.edu), May 10 2000