A298117 Array read by antidiagonals: T(m,n) = number of Eulerian cycles in the torus grid graph C_m X C_n.

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

Andrew Howroyd, Table of n, a(n) for n = 1..105

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.

Cf. A212801, A298119.

Sequence in context: A006967 A296229 A322175 * A122033 A281122 A201777

Adjacent sequences: A298114 A298115 A298116 * A298118 A298119 A298120

Keyword

nonn,tabl

Author

Andrew Howroyd, Jan 12 2018

Status

approved