A067676 Number of fixed directed convex polyominoes with n cells.

1, 2, 5, 13, 33, 82, 200, 481, 1144, 2699, 6329, 14775, 34381, 79819, 185001, 428290, 990716, 2290424, 5293153, 12229209, 28249088, 65246630, 150687282, 347993954, 803620981, 1855754764, 4285319033, 9895581541, 22850547145, 52765494456, 121843455307

Offset: 1

Author

Steven Finch, Feb 04 2002

Keywords

• nonn

Links

• Sean A. Irvine, Table of n, a(n) for n = 1..500
• M. Bousquet-Mélou and J.-M. Fédou, The generating function of convex polyominoes: the resolution of a q-differential system, Discrete Math. 137 (1995) 53-75.
• Sergi Elizalde, Symmetric peaks and symmetric valleys in Dyck paths, arXiv:2008.05669 [math.CO], 2020.

Crossrefs

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

Extensions

More terms from Sean A. Irvine, Jan 02 2024