A047252 Numbers that are congruent to {0, 1, 3, 4, 5} mod 6.

0, 1, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, 45, 46, 47, 48, 49, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 63, 64, 65, 66, 67, 69, 70, 71, 72, 73, 75, 76, 77, 78, 79

Offset

1,3

Links

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

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

Formula

a(n) = floor((6n-3)/5). - Gary Detlefs, Mar 07 2010

G.f.: x^2*(1+x)*(x^3+x+1) / ( (x^4+x^3+x^2+x+1)*(x-1)^2 ). - R. J. Mathar, Oct 08 2011

Sum_{n>=2} (-1)^n/a(n) = log(2+sqrt(3))/sqrt(3) - (3-2*sqrt(3))*Pi/36. - Amiram Eldar, Dec 17 2021

a(n) = a(n-1) + a(n-5) - a(n-6). - Wesley Ivan Hurt, Sep 05 2025

a(n) ~ 6*n/5. - Charles R Greathouse IV, May 26 2026

Maple

seq(floor((6*n-3)/5), n= 1..70); # Gary Detlefs, Mar 07 2010

Mathematica

Flatten[#+{0, 1, 3, 4, 5}&/@(6Range[0, 12])]  (* Harvey P. Dale, Apr 21 2011 *)

Prog

(PARI) a(n)=(6*n-3)\5 \\ Charles R Greathouse IV, May 26 2026

Crossrefs

Cf. A047263.

Sequence in context: A184336 A183300 A155854 * A039235 A247782 A039179

Adjacent sequences: A047249 A047250 A047251 * A047253 A047254 A047255

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved