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 A288917 Number of 6-cycles in the n X n queen graph. 3
 0, 0, 976, 26414, 207136, 951750, 3190304, 8721576, 20615340, 43736788, 85332868, 155691014, 268995384, 444000894, 705336724, 1083967932, 1619250600, 2358809948, 3361809572, 4697700286, 6451359236, 8719953330, 11620829368 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Eric Weisstein's World of Mathematics, Graph Cycle Eric Weisstein's World of Mathematics, Queen Graph Index entries for linear recurrences with constant coefficients, signature (0, 3, 2, -1, -5, -6, -1, 6, 11, 6, -4, -10, -10, -4, 6, 11, 6, -1, -6, -5, -1, 2, 3, 0, -1). FORMULA a(n)=3*a(n-2)+2*a(n-3)-a(n-4)-5*a(n-5)-6*a(n-6)-a(n-7)+6*a(n-8)+11*a(n-9)+6*a(n-10)-4*a(n-11)-10*a(n-12)-10*a(n-13)-4*a(n-14)+6*a(n-15)+11*a(n-16)+6*a(n-17)-a(n-18)-6*a(n-19)-5*a(n-20)-a(n-21)+2*a(n-22)+3*a(n-23)-a(n-25). MATHEMATICA LinearRecurrence[{0, 3, 2, -1, -5, -6, -1, 6, 11, 6, -4, -10, -10, -4, 6, 11, 6, -1, -6, -5, -1, 2, 3, 0, -1}, {0, 0, 976, 26414, 207136, 951750, 3190304, 8721576, 20615340, 43736788, 85332868, 155691014, 268995384, 444000894, 705336724, 1083967932, 1619250600, 2358809948, 3361809572, 4697700286, 6451359236, 8719953330, 11620829368, 15285494276, 19871396864}, 30] CROSSREFS Cf. A144298 (3-cycles), A156001 (4-cycles), A288916 (5-cycles). Sequence in context: A233984 A205252 A190400 * A264130 A282405 A077362 Adjacent sequences:  A288914 A288915 A288916 * A288918 A288919 A288920 KEYWORD nonn,easy AUTHOR Eric W. Weisstein, Jun 19 2017 STATUS approved

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Last modified October 18 07:19 EDT 2019. Contains 328146 sequences. (Running on oeis4.)