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A222204
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Write n=3i+j, 0<=j<3; a(n) = number of ways to cover the r X s grid graph by vertex disjoint cycles, where (r,s) = (2i+2, 2i+2) (if j=0), (2i+2, 2i+3) (if j=1) or (2i+3, 2i+4) (if j=2).
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2
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1, 1, 3, 18, 54, 1140, 13903, 99051, 13049563, 360783593, 6044482889, 4738211572702, 303872744726644, 11986520595161863, 54755153078468134960, 8217125138015950451626, 764291947227525464744293, 20119942924108379011391597989, 7095967027221343377167292602835, 1558052539448513320447263528275071
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