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A093118
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Triangle T read by rows: T(m,n) = number of convex polyominoes with an m+1 x n+1 minimal bounding rectangle, m>0, n<=m.
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2
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5, 13, 68, 25, 222, 1110, 41, 555, 3951, 19010, 61, 1171, 11263, 70438, 329126, 85, 2198, 27468, 216618, 1245986, 5693968, 113, 3788, 59676, 579330, 4022546, 21832492, 98074332, 145, 6117, 118605, 1389927, 11462495, 72887139
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| V. J. W. Guo and J. Zeng, The number of convex polyominoes and the generating function of Jacobi polynomials.
Ira Gessel, On the number of convex polyominoes.
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FORMULA
| T(m, n) = (m+n+mn)/(m+n)*C(2m+2n, 2m) - 2mn/(m+n)*C(m+n, m)^2.
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CROSSREFS
| Columns T(m, 1) = A001844(m), T(m, 2) = A093119(m). Diagonal T(n, n) = A093120(n).
Sequence in context: A018678 A149575 A156101 * A087506 A068487 A075063
Adjacent sequences: A093115 A093116 A093117 * A093119 A093120 A093121
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KEYWORD
| nonn,tabl
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AUTHOR
| Ralf Stephan, Mar 21 2004
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