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A269562 Array read by antidiagonals: T(n,m) = number of Hamiltonian cycles in K_n X K_m. 5
0, 0, 0, 1, 1, 1, 3, 3, 3, 3, 12, 30, 48, 30, 12, 60, 480, 1566, 1566, 480, 60, 360, 12000, 126120, 284112, 126120, 12000, 360, 2520, 430920, 18153720, 122330880, 122330880, 18153720, 430920, 2520 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,7

COMMENTS

Equivalently, the number of rook tours on an n X m lattice.

LINKS

Andrew Howroyd, Table of n, a(n) for n = 1..96

EXAMPLE

The start of the sequence as table:

*   0   0      1         3           12 ...

*   0   1      3        30          480 ...

*   1   3     48      1566       126120 ...

*   3  30   1566    284112    122330880 ...

*  12 480 126120 122330880 335750676480 ...

*  ...

CROSSREFS

Cf. A269561.

Sequence in context: A029630 A170858 A024725 * A214730 A153491 A287505

Adjacent sequences:  A269559 A269560 A269561 * A269563 A269564 A269565

KEYWORD

nonn,tabl

AUTHOR

Andrew Howroyd, Feb 29 2016

STATUS

approved

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Last modified January 26 16:58 EST 2020. Contains 331280 sequences. (Running on oeis4.)