Search: id:A038758 Results 1-1 of 1 results found. %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 Index entries for sequences related to dominoes %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 Search completed in 0.001 seconds