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 A194529 Second coordinate of (5,8)-Lagrange pair for n. 3
 2, -1, 1, -2, 0, 2, -1, 1, 3, 0, 2, 4, 1, 3, 0, 2, -1, 1, 3, 0, 2, 4, 1, 3, 5, 2, 4, 1, 3, 0, 2, 4, 1, 3, 5, 2, 4, 6, 3, 5, 2, 4, 1, 3, 5, 2, 4, 6, 3, 5, 7, 4, 6, 3, 5, 2, 4, 6, 3, 5, 7, 4, 6, 8, 5, 7, 4, 6, 3, 5, 7, 4, 6, 8, 5, 7, 9, 6, 8, 5, 7, 4, 6, 8, 5, 7, 9, 6, 8, 10, 7, 9, 6, 8, 5 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS See A194508. LINKS FORMULA From Chai Wah Wu, Jan 24 2020: (Start) a(n) = a(n-1) + a(n-13) - a(n-14) for n > 14. G.f.: x*(-3*x^12 + 2*x^11 + 2*x^10 - 3*x^9 + 2*x^8 + 2*x^7 - 3*x^6 + 2*x^5 + 2*x^4 - 3*x^3 + 2*x^2 - 3*x + 2)/(x^14 - x^13 - x + 1). (End) a(n) = 7*n - 5*floor((9*n + 3)/13) - 5*floor((9*n + 8)/13). - Ridouane Oudra, Dec 29 2020 EXAMPLE This table shows (x(n),y(n)) for 1<=n<=13: n..... 1..2..3..4..5..6..7..8..9..10..11..12..13 x(n)..-3..2.-1..4..1.-2..3..0.-3..2..-1..-4...1 y(n).. 2.-1..1.-2..0..2.-1..1..3..0...2...4...1 MATHEMATICA c = 5; d = 8; x1 = {-3, 2, -1, 4, 1, -2, 3, 0, -3, 2, -1, -4, 1}; y1 = {2, -1, 1, -2, 0, 2, -1, 1, 3, 0, 2, 4, 1}; x[n_] := If[n <= c + d, x1[[n]], x[n - c - d] + 1] y[n_] := If[n <= c + d, y1[[n]], y[n - c - d] + 1] Table[x[n], {n, 1, 100}]  (* A194528 *) Table[y[n], {n, 1, 100}]  (* A194529 *) r[1, n_] := n; r[2, n_] := x[n]; r[3, n_] := y[n] TableForm[Table[r[m, n], {m, 1, 3}, {n, 1, 40}]] CROSSREFS Cf. A194508, A194528. Sequence in context: A282634 A039980 A306660 * A055138 A177717 A155997 Adjacent sequences:  A194526 A194527 A194528 * A194530 A194531 A194532 KEYWORD sign AUTHOR Clark Kimberling, Aug 28 2011 STATUS approved

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Last modified April 14 22:47 EDT 2021. Contains 342971 sequences. (Running on oeis4.)