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| A283432
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Triangle read by rows: T(n,m) is the number of pattern classes in the (n,m)-rectangular grid with 3 colors and n>=m, two patterns are in the same class if one of them can be obtained by a reflection or 180-degree rotation of the other.
(history;
published version)
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#40 by OEIS Server at Sat May 20 13:39:37 EDT 2023
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| LINKS
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María Merino, <a href="/A283432/b283432_1.txt">Rows n=0..46 of triangle, flattened</a>
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#39 by Michael De Vlieger at Sat May 20 13:39:37 EDT 2023
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Discussion
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| Sat May 20
| 13:39
| OEIS Server: Installed new b-file as b283432.txt. Old b-file is now b283432_1.txt.
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#38 by Michel Marcus at Sat May 20 12:42:43 EDT 2023
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#37 by Peter Kagey at Sat May 20 12:38:02 EDT 2023
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#36 by Peter Kagey at Sat May 20 12:37:50 EDT 2023
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| LINKS
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María Merino, <a href="/A283432/b283432_1.txt">Rows n=0..46 of triangle, flattened</a>
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| STATUS
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approved
editing
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Discussion
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| Sat May 20
| 12:38
| Peter Kagey: Just fixed the b-file format.
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#35 by Harvey P. Dale at Wed Mar 29 12:22:08 EDT 2023
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#34 by Harvey P. Dale at Wed Mar 29 12:22:04 EDT 2023
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| MATHEMATICA
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Table[Which[AllTrue[{n, m}, EvenQ], (3^(m n)+3 3^((m n)/2))/4, EvenQ[ n]&&OddQ[m], (3^(m n)+3^((m n+n)/2)+2 3^((m n)/2))/4, OddQ[n]&&EvenQ[ m], (3^(m n)+3^((m n+m)/2)+2 3^((m n)/2))/4, True, (3^(m n)+3^((m n+n)/2)+3^((m n+m)/2)+3^((m n+1)/2))/4], {n, 0, 10}, {m, 0, n}]//Flatten (* Harvey P. Dale, Mar 29 2023 *)
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| STATUS
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approved
editing
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#33 by Bruno Berselli at Mon Apr 29 05:18:46 EDT 2019
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#32 by Michel Marcus at Mon Apr 29 05:17:10 EDT 2019
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#31 by María Merino at Mon Apr 29 04:47:35 EDT 2019
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