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A359574
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Array read by antidiagonals: T(m,n) is the number of m X n binary arrays with all 1's connected and a path of 1's from top row to bottom row.
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12
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1, 3, 1, 6, 7, 1, 10, 28, 17, 1, 15, 88, 144, 41, 1, 21, 245, 920, 730, 99, 1, 28, 639, 5191, 9362, 3692, 239, 1, 36, 1608, 27651, 104989, 94280, 18666, 577, 1, 45, 3968, 143342, 1111283, 2075271, 947760, 94384, 1393, 1, 55, 9689, 733512, 11457514, 42972329, 40792921, 9528128, 477264, 3363, 1
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OFFSET
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1,2
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COMMENTS
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The grid has m rows and n columns.
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LINKS
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FORMULA
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EXAMPLE
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Array begins:
================================================================
m\n| 1 2 3 4 5 6 7
---+------------------------------------------------------------
1 | 1 3 6 10 15 21 28 ...
2 | 1 7 28 88 245 639 1608 ...
3 | 1 17 144 920 5191 27651 143342 ...
4 | 1 41 730 9362 104989 1111283 11457514 ...
5 | 1 99 3692 94280 2075271 42972329 866126030 ...
6 | 1 239 18666 947760 40792921 1642690309 64270256276 ...
7 | 1 577 94384 9528128 801218515 62618577481 4741764527414 ...
...
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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