Search: id:A006027 Results 1-1 of 1 results found. %I A006027 M1647 %S A006027 1,1,2,6,20,71,263,1005,3933,15684,63505,260390,1079019,4511700, %T A006027 19011521,80653480,344193353,1476589475,6364258163,27545933212, %U A006027 119676949397,521739175908,2281673067934,10006784399183 %N A006027 Number of directed column-convex polyominoes with perimeter 2n+2. %D A006027 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). %D A006027 M.-P. Delest, Utilisation des Langages Alg\'{e}briques et du Calcul Formel Pour le Codage et l'Enumeration des Polyominos. Ph.D. Dissertation, Universit\'{e} Bordeaux I, May 1987. %D A006027 Delest, M.-P., Generating functions for column-convex polyominoes. J. Combin. Theory Ser. A 48 (1988), no. 1, 12-31. %D A006027 M.-P. Delest and S. Dulucq, Enumeration of directed column-convex animals with given perimeter and area, Croat. Chem. Acta. 66 (1993), 59-80. %D A006027 E. Duchi and S. Rinaldi, An object grammar for column-convex polyominoes, Annals of Combinatorics, 8 (2004), 27-36. %F A006027 G.f. A(x) = a(1)x^2 + a(2)x^3 + a(3)x^4 + ... satisfies the functional equation A^3 + 2(x-1)A^2 + (2x-1)(x-1)A + (x^2)(x-1) = 0. - D. G. Rogers, May 22 2005 %Y A006027 Cf. A005435. %Y A006027 Sequence in context: A129777 A108600 A128729 this_sequence A049124 A163134 A150128 %Y A006027 Adjacent sequences: A006024 A006025 A006026 this_sequence A006028 A006029 A006030 %K A006027 nonn %O A006027 1,3 %A A006027 Simon Plouffe (simon.plouffe(AT)gmail.com) %E A006027 More terms from Douglas Rogers and Emanuele Munarini, May 15 2005 Search completed in 0.001 seconds