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A329118 Array read by antidiagonals: T(m, n) is the number of simple paths from corner to diagonally opposite corner on an m X n grid with king moves allowed. 9
1, 1, 1, 1, 5, 1, 1, 24, 24, 1, 1, 116, 235, 116, 1, 1, 560, 2922, 2922, 560, 1, 1, 2704, 38169, 96371, 38169, 2704, 1, 1, 13056, 494596, 3764367, 3764367, 494596, 13056, 1, 1, 63040, 6375379, 150610151, 447544629, 150610151, 6375379, 63040, 1, 1, 304384, 82191766, 5898799685, 56182569218, 56182569218, 5898799685, 82191766, 304384, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,5
LINKS
EXAMPLE
Array begins:
===================================================================
m\n | 1 2 3 4 5 6
----+--------------------------------------------------------------
1 | 1 1 1 1 1 1 ...
2 | 1 5 24 116 560 2704 ...
3 | 1 24 235 2922 38169 494596 ...
4 | 1 116 2922 96371 3764367 150610151 ...
5 | 1 560 38169 3764367 447544629 56182569218 ...
6 | 1 2704 494596 150610151 56182569218 22132498074021 ...
7 | 1 13056 6375379 5898799685 6972159602221 8656506756327178 ...
...
CROSSREFS
Main diagonal is A140518.
Sequence in context: A359993 A157212 A156600 * A152572 A203346 A176793
KEYWORD
nonn,walk,tabl
AUTHOR
Andrew Howroyd, Nov 05 2019
STATUS
approved

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Last modified April 18 10:28 EDT 2024. Contains 371779 sequences. (Running on oeis4.)