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A053022 Number of subdiagonal directed diagonally-convex animals with given diagonal semiperimeter. 0

%I #11 Mar 04 2018 21:16:54

%S 1,1,3,9,30,107,396,1506,5848,23087,92381,373830,1527192,6290054,

%T 26090780,108895558,456992576,1927176941,8162557837,34708427777,

%U 148110582311,634074235584,2722547715302,11721572763762,50591504811439

%N Number of subdiagonal directed diagonally-convex animals with given diagonal semiperimeter.

%D F. Ibn-Majdoub-Hassani, Generating functions for directed animals convex following their direction, In: Actes du Seminaire Lotharingien de Combinatoire, 33rd session. Publication de l'IRMA, Strasbourg, France, 1994.

%D F. Ibn-Majdoub-Hassani, Combinatorics of polyominoes and oscillating shifted tableaux. Phd Thesis. Laboratoire de Recherche en Informatique, Univ. Paris-Sud, France, 1996

%H Seminaire Lotharingien de Combinatoire, <a href="http://www.mat.univie.ac.at/~slc/">Home page</a>

%F G.f.: A(x)^4 + 2x(1 - x + x^2)A(x)^3 + x( - 1 + 3x - 7x^2 + 5x^3 - 2x^4 + x^5)A(x)^2 + x^3(2 - 5x + 6x^2 - 3x^3 + 2x^4)A(x) + x^5( - 1 + 2x - x^2 + x^3) = 0.

%K nonn

%O 2,3

%A _Fouad IBN MAJDOUB HASSANI_, Feb 24 2000

%E More terms from _Vladeta Jovovic_, Mar 27 2001

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Last modified April 23 11:07 EDT 2024. Contains 371905 sequences. (Running on oeis4.)