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 A179403 Number of ways to place 2 nonattacking kings on an n X n toroidal board. 10
 0, 0, 0, 56, 200, 486, 980, 1760, 2916, 4550, 6776, 9720, 13520, 18326, 24300, 31616, 40460, 51030, 63536, 78200, 95256, 114950, 137540, 163296, 192500, 225446, 262440, 303800, 349856, 400950 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 V. Kotesovec, Number of ways of placing non-attacking queens and kings on boards of various sizes Index entries for linear recurrences with constant coefficients, signature (5, -10, 10, -5, 1). FORMULA Explicit formula: a(n) = 1/2*n^2*(n-3)*(n+3), n>=3. G.f.: 2*x^4*(x-2)*(5*x^2 - 13*x + 14)/(x-1)^5. MATHEMATICA CoefficientList[Series[2 x^3 (x-2) (5 x^2 - 13 x + 14) / (x - 1)^5, {x, 0, 50}], x] (* Vincenzo Librandi, Jun 01 2013 *) CROSSREFS Cf. A061995. Sequence in context: A264303 A200833 A241611 * A158481 A325306 A193428 Adjacent sequences: A179400 A179401 A179402 * A179404 A179405 A179406 KEYWORD nonn,easy AUTHOR Vaclav Kotesovec, Jan 07 2011 STATUS approved

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Last modified September 18 19:41 EDT 2024. Contains 376002 sequences. (Running on oeis4.)