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%I #17 Apr 19 2024 11:30:54
%S 128,858,8324,98466,1250228,16448400,220603364,2995602834,41048196236,
%T 566597492178,7869683384900,109903205061360,1542297167382164,
%U 21736984452051810,307535339926640204,4365796637993895186,62162535924592508036,887421840845709378960
%N Number of Eulerian orientations of the torus grid graph C_6 X C_n.
%H Brendan McKay, <a href="/A372094/b372094.txt">Table of n, a(n) for n = 1..100</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/TorusGridGraph.html">Torus Grid Graph</a>
%H <a href="/index/Rec#order_18">Index entries for linear recurrences with constant coefficients</a>, signature (55, -1265, 15974, -121977, 578547, -1629798, 2030265, 2559843, -15001158, 26229897, -19679739, -3755273, 21563768, -20454442, 10081600, -2802792, 410688, -24192).
%F a(n) = 55*a(n-1) - 1265*a(n-2) + 15974*a(n-3) - 121977*a(n-4) + 578547*a(n-5) - 1629798*a(n-6) + 2030265*a(n-7) + 2559843*a(n-8) - 15001158*a(n-9) + 26229897*a(n-10) - 19679739*a(n-11) - 3755273*a(n-12) + 21563768*a(n-13) - 20454442*a(n-14) + 10081600*a(n-15) - 2802792*a(n-16) + 410688*a(n-17) - 24192*a(n-18)
%Y Row 6 of A298119.
%Y Cf. A298201, A372093.
%K nonn
%O 1,1
%A _Brendan McKay_, Apr 18 2024