A047309 Numbers that are congruent to {1, 3, 4, 5, 6} mod 7.

1, 3, 4, 5, 6, 8, 10, 11, 12, 13, 15, 17, 18, 19, 20, 22, 24, 25, 26, 27, 29, 31, 32, 33, 34, 36, 38, 39, 40, 41, 43, 45, 46, 47, 48, 50, 52, 53, 54, 55, 57, 59, 60, 61, 62, 64, 66, 67, 68, 69, 71, 73, 74, 75, 76, 78

Offset

1,2

Links

Table of n, a(n) for n=1..56.

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

Formula

G.f.: x*(1 + 2*x + x^2 + x^3 + x^4 + x^5) / ( (x^4 + x^3 + x^2 + x + 1)*(x-1)^2 ). - R. J. Mathar, Oct 25 2011

a(n) = a(n-1) + a(n-5) - a(n-6). - Wesley Ivan Hurt, Mar 09 2023

Mathematica

Select[Range[100], MemberQ[{1, 3, 4, 5, 6}, Mod[#, 7]]&]  (* Harvey P. Dale, Mar 30 2011 *)

Crossrefs

Sequence in context: A103605 A098171 A039031 * A121502 A180644 A202110

Adjacent sequences: A047306 A047307 A047308 * A047310 A047311 A047312

Keyword

nonn

Author

N. J. A. Sloane

Status

approved