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Number of fixed directed convex polyominoes with n cells.
2

%I #26 Jan 02 2024 21:11:57

%S 1,2,5,13,33,82,200,481,1144,2699,6329,14775,34381,79819,185001,

%T 428290,990716,2290424,5293153,12229209,28249088,65246630,150687282,

%U 347993954,803620981,1855754764,4285319033,9895581541,22850547145,52765494456,121843455307

%N Number of fixed directed convex polyominoes with n cells.

%H Sean A. Irvine, <a href="/A067676/b067676.txt">Table of n, a(n) for n = 1..500</a>

%H M. Bousquet-Mélou and J.-M. Fédou, <a href="http://dx.doi.org/10.1016/0012-365X(93)E0161-V">The generating function of convex polyominoes: the resolution of a q-differential system</a>, Discrete Math. 137 (1995) 53-75.

%H Sergi Elizalde, <a href="https://arxiv.org/abs/2008.05669">Symmetric peaks and symmetric valleys in Dyck paths</a>, arXiv:2008.05669 [math.CO], 2020.

%Y Cf. A006958, A067675 (fixed convex polyominoes), A191148 (fixed line-convex polycubes in 3 dimensions).

%K nonn

%O 1,2

%A _Steven Finch_, Feb 04 2002

%E More terms from _Sean A. Irvine_, Jan 02 2024