This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A047231 Numbers that are congruent to {0, 3, 4} mod 6. 3
 0, 3, 4, 6, 9, 10, 12, 15, 16, 18, 21, 22, 24, 27, 28, 30, 33, 34, 36, 39, 40, 42, 45, 46, 48, 51, 52, 54, 57, 58, 60, 63, 64, 66, 69, 70, 72, 75, 76, 78, 81, 82, 84, 87, 88, 90, 93, 94, 96, 99, 100, 102, 105, 106, 108, 111, 112, 114, 117, 118, 120, 123, 124 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (1,0,1,-1). FORMULA From R. J. Mathar, Aug 05 2010: (Start) G.f.: x^2*(3+x+2*x^2) / ( (1+x+x^2)*(x-1)^2 ). a(n) = a(n-1) + a(n-3) - a(n-4) for n>4. a(n) = 2*n+2-(11+A061347(n+1))/3. (End) From Wesley Ivan Hurt, Jun 13 2016: (Start) a(n) = (6*n-5-cos(2*n*Pi/3)-sqrt(3)*sin(2*n*Pi/3))/3. a(3k) = 6k-2, a(3k-1) = 6k-3, a(3k-2) = 6k-6. (End) MAPLE A047231:=n->(6*n-5-cos(2*n*Pi/3)-sqrt(3)*sin(2*n*Pi/3))/3: seq(A047231(n), n=1..100); # Wesley Ivan Hurt, Jun 13 2016 MATHEMATICA Select[Range[0, 600], MemberQ[{0, 3, 4}, Mod[#, 6]]&] (* Vincenzo Librandi, Jan 06 2013 *) LinearRecurrence[{1, 0, 1, -1}, {0, 3, 4, 6}, 70] (* Harvey P. Dale, Sep 03 2017 *) PROG (MAGMA) [n: n in [0..120] | n mod 6 in [0, 3, 4]]; // Vincenzo Librandi, Jan 06 2013 CROSSREFS Cf. A061347. Sequence in context: A153464 A288463 A189297 * A050131 A191326 A191185 Adjacent sequences:  A047228 A047229 A047230 * A047232 A047233 A047234 KEYWORD nonn,easy AUTHOR 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.

Last modified October 15 07:42 EDT 2019. Contains 328026 sequences. (Running on oeis4.)