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A360877
Array read by antidiagonals: T(m,n) is the number of (undirected) paths in the rook graph K_m X K_n.
2
0, 1, 1, 6, 12, 6, 30, 129, 129, 30, 160, 1984, 4536, 1984, 160, 975, 45945, 310542, 310542, 45945, 975, 6846, 1524156, 38298270, 111933456, 38298270, 1524156, 6846
OFFSET
1,4
LINKS
Eric Weisstein's World of Mathematics, Graph Path.
Eric Weisstein's World of Mathematics, Rook Graph.
EXAMPLE
Array begins:
==============================================
m\n| 1 2 3 4 5 ...
---+------------------------------------------
1 | 0 1 6 30 160 ...
2 | 1 12 129 1984 45945 ...
3 | 6 129 4536 310542 38298270 ...
4 | 30 1984 310542 111933456 ...
5 | 160 45945 38298270 ...
...
CROSSREFS
Main diagonal is A288967.
Rows 1..2 are A038155, A360878.
Sequence in context: A050496 A262617 A303226 * A295122 A103698 A175375
KEYWORD
nonn,tabl,more
AUTHOR
Andrew Howroyd, Feb 25 2023
STATUS
approved