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A298117
Array read by antidiagonals: T(m,n) = number of Eulerian cycles in the torus grid graph C_m X C_n.
7
2, 4, 4, 8, 40, 8, 16, 320, 320, 16, 32, 2368, 8616, 2368, 32, 64, 16832, 207496, 207496, 16832, 64, 128, 116608, 4788808, 15639936, 4788808, 116608, 128, 256, 793088, 108326760, 1116199200, 1116199200, 108326760, 793088, 256
OFFSET
1,1
LINKS
Eric Weisstein's World of Mathematics, Eulerian Cycle
Eric Weisstein's World of Mathematics, Torus Grid Graph
EXAMPLE
Array begins:
=========================================================================
m\n| 1 2 3 4 5 6
---|---------------------------------------------------------------------
1 | 2 4 8 16 32 64 ...
2 | 4 40 320 2368 16832 116608 ...
3 | 8 320 8616 207496 4788808 108326760 ...
4 | 16 2368 207496 15639936 1116199200 77643032832 ...
5 | 32 16832 4788808 1116199200 242230440480 50917973008584 ...
6 | 64 116608 108326760 77643032832 50917973008584 32098460087825856 ...
...
CROSSREFS
Rows 2..4 are A298198, A282621, A298197.
Main diagonal is A297385.
Sequence in context: A006967 A296229 A322175 * A122033 A281122 A201777
KEYWORD
nonn,tabl
AUTHOR
Andrew Howroyd, Jan 12 2018
STATUS
approved