login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Table of n, a(n) for n=1..82.

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

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