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 A286810 Number of non-attacking bishop positions on a cylindrical 2 X 2n chessboard. 2
 1, 9, 49, 324, 2209, 15129, 103684, 710649, 4870849, 33385284, 228826129, 1568397609, 10749957124, 73681302249, 505019158609, 3461452808004, 23725150497409, 162614600673849, 1114577054219524, 7639424778862809, 52361396397820129, 358890350005878084, 2459871053643326449, 16860207025497407049 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Essentially the same as A081069. - R. J. Mathar, May 25 2017 LINKS Colin Barker, Table of n, a(n) for n = 0..1000 Richard M. Low and Ardak Kapbasov, Non-Attacking Bishop and King Positions on Regular and Cylindrical Chessboards, Journal of Integer Sequences, Vol. 20 (2017), Article 17.6.1, Table 9. Index entries for linear recurrences with constant coefficients, signature (8,-8,1). FORMULA G.f.: (1+x^2-15*x^4+3*x^6) / (1-8*x^2+8*x^4-x^6). a(n) = 8*a(n-1) - 8*a(n-2) + a(n-3) for n>3. - Colin Barker, May 21 2017 PROG (PARI) Vec((1 + x - 15*x^2 + 3*x^3) / ((1 - x)*(1 - 7*x + x^2)) + O(x^30)) \\ Colin Barker, May 21 2017 CROSSREFS Sequence in context: A199411 A069665 A188235 * A066558 A168597 A169724 Adjacent sequences:  A286807 A286808 A286809 * A286811 A286812 A286813 KEYWORD nonn,easy AUTHOR Richard M. Low, May 20 2017 STATUS approved

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Last modified February 26 07:46 EST 2020. Contains 332277 sequences. (Running on oeis4.)