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%I #13 Feb 16 2025 08:33:53
%S 2,4,4,8,40,8,16,320,320,16,32,2368,8616,2368,32,64,16832,207496,
%T 207496,16832,64,128,116608,4788808,15639936,4788808,116608,128,256,
%U 793088,108326760,1116199200,1116199200,108326760,793088,256
%N Array read by antidiagonals: T(m,n) = number of Eulerian cycles in the torus grid graph C_m X C_n.
%H Andrew Howroyd, <a href="/A298117/b298117.txt">Table of n, a(n) for n = 1..105</a>
%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/EulerianCycle.html">Eulerian Cycle</a>
%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/TorusGridGraph.html">Torus Grid Graph</a>
%e Array begins:
%e =========================================================================
%e m\n| 1 2 3 4 5 6
%e ---|---------------------------------------------------------------------
%e 1 | 2 4 8 16 32 64 ...
%e 2 | 4 40 320 2368 16832 116608 ...
%e 3 | 8 320 8616 207496 4788808 108326760 ...
%e 4 | 16 2368 207496 15639936 1116199200 77643032832 ...
%e 5 | 32 16832 4788808 1116199200 242230440480 50917973008584 ...
%e 6 | 64 116608 108326760 77643032832 50917973008584 32098460087825856 ...
%e ...
%Y Rows 2..4 are A298198, A282621, A298197.
%Y Main diagonal is A297385.
%Y Cf. A212801, A298119.
%K nonn,tabl,changed
%O 1,1
%A _Andrew Howroyd_, Jan 12 2018