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A194512 First coordinate of (2,7)-Lagrange pair for n. 3
4, 1, 5, 2, -1, 3, 0, 4, 1, 5, 2, 6, 3, 0, 4, 1, 5, 2, 6, 3, 7, 4, 1, 5, 2, 6, 3, 7, 4, 8, 5, 2, 6, 3, 7, 4, 8, 5, 9, 6, 3, 7, 4, 8, 5, 9, 6, 10, 7, 4, 8, 5, 9, 6, 10, 7, 11, 8, 5, 9, 6, 10, 7, 11, 8, 12, 9, 6, 10, 7, 11, 8, 12, 9, 13, 10, 7, 11, 8, 12, 9, 13, 10, 14, 11, 8, 12, 9, 13, 10, 14, 11 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A194508.

LINKS

Table of n, a(n) for n=1..92.

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,1,-1).

FORMULA

From Chai Wah Wu, Jan 21 2020: (Start)

a(n) = a(n-1) + a(n-9) - a(n-10) for n > 10.

G.f.: x*(-3*x^8 + 4*x^7 - 3*x^6 + 4*x^5 - 3*x^4 - 3*x^3 + 4*x^2 - 3*x + 4)/(x^10 - x^9 - x + 1). (End)

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)... 4..1..5..2.-1..3..0..4..1..5...2...6...3

y(n).. -1..0.-1..0..1..0..1..0..1..0...1...0...1

MATHEMATICA

c = 2; d = 7;

x1 = {4, 1, 5, 2, -1, 3, 0, 4, 1}; y1 = {-1, 0, -1, 0, 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}] (* A194512 *)

Table[y[n], {n, 1, 100}] (* A194513 *)

Table[y[n], {n, 1, 100}]

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, A194513.

Sequence in context: A168066 A029666 A269593 * A131230 A076063 A035590

Adjacent sequences:  A194509 A194510 A194511 * A194513 A194514 A194515

KEYWORD

sign

AUTHOR

Clark Kimberling, Aug 28 2011

STATUS

approved

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Last modified October 29 21:59 EDT 2020. Contains 338074 sequences. (Running on oeis4.)