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 A194509 Second coordinate of (2,3)-Lagrange pair for n. 2
 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 3, 2, 3, 2, 3, 4, 3, 4, 3, 4, 5, 4, 5, 4, 5, 6, 5, 6, 5, 6, 7, 6, 7, 6, 7, 8, 7, 8, 7, 8, 9, 8, 9, 8, 9, 10, 9, 10, 9, 10, 11, 10, 11, 10, 11, 12, 11, 12, 11, 12, 13, 12, 13, 12, 13, 14, 13, 14, 13, 14, 15, 14, 15, 14, 15, 16, 15, 16, 15, 16, 17, 16 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 COMMENTS See A194508. LINKS FORMULA From Chai Wah Wu, Jan 21 2020: (Start) a(n) = a(n-1) + a(n-5) - a(n-6) for n > 6. G.f.: x*(x^4 - x^3 + x^2 - x + 1)/(x^6 - x^5 - x + 1). (End) a(n) = n - 2*floor((2*n + 2)/5). - Ridouane Oudra, Dec 25 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).. -1..1..0..2..1..0..2..1..3..2...1...3...2 y(n)... 1..0..1..0..1..2..1..2..1..2...3...2...3 MATHEMATICA c = 2; d = 3; x1 = {-1, 1, 0, 2, 1}; y1 = {1, 0, 1, 0, 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}] (* A194508 *) Table[y[n], {n, 1, 100}] (* A194509 *) r[1, n_] := n; r[2, n_] := x[n]; r[3, n_] := y[n] TableForm[Table[r[m, n], {m, 1, 3}, {n, 1, 30}]] CROSSREFS Cf. A194508. Sequence in context: A265745 A092243 A257564 * A054716 A261641 A325622 Adjacent sequences:  A194506 A194507 A194508 * A194510 A194511 A194512 KEYWORD nonn AUTHOR Clark Kimberling, Aug 27 2011 STATUS approved

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Last modified April 11 13:59 EDT 2021. Contains 342886 sequences. (Running on oeis4.)