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!)
A130508 a(1)=2. a(2)=3. a(3)=1. a(n+3) = 3 + a(n), for all positive integers n. 1
2, 3, 1, 5, 6, 4, 8, 9, 7, 11, 12, 10, 14, 15, 13, 17, 18, 16, 20, 21, 19, 23, 24, 22, 26, 27, 25, 29, 30, 28, 32, 33, 31, 35, 36, 34, 38, 39, 37, 41, 42, 40, 44, 45, 43, 47, 48, 46, 50, 51, 49, 53, 54, 52, 56, 57, 55, 59, 60, 58, 62, 63, 61, 65, 66, 64, 68 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This sequence is a permutation of the positive integers, where each a(n) is the smallest positive integer not occurring earlier in the sequence such that the m-th term of the inverse permutation A130509 never equals a(m), for all positive integers m.

LINKS

Table of n, a(n) for n=1..67.

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

FORMULA

a(1)=2, a(2)=3, a(3)=1, a(4)=5, a(n)=a(n-1)+a(n-3)-a(n-4). - Harvey P. Dale, Feb 02 2015

a(n) = n - 2*cos(2*n*Pi/3). - Wesley Ivan Hurt, Sep 27 2017

MATHEMATICA

Transpose[NestList[{#[[2]], #[[3]], #[[1]]+3}&, {2, 3, 1}, 100]][[1]] (* Harvey P. Dale, Sep 08 2011 *)

LinearRecurrence[{1, 0, 1, -1}, {2, 3, 1, 5}, 100] (* Harvey P. Dale, Feb 02 2015 *)

CROSSREFS

Cf. A130509.

Sequence in context: A195508 A049274 A339470 * A182938 A329445 A055231

Adjacent sequences:  A130505 A130506 A130507 * A130509 A130510 A130511

KEYWORD

easy,nonn

AUTHOR

Leroy Quet, Jun 01 2007

EXTENSIONS

More terms from Harvey P. Dale, Feb 02 2015

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 January 25 02:53 EST 2021. Contains 340414 sequences. (Running on oeis4.)