A047314 Numbers that are congruent to {0, 1, 4, 5, 6} mod 7.

0, 1, 4, 5, 6, 7, 8, 11, 12, 13, 14, 15, 18, 19, 20, 21, 22, 25, 26, 27, 28, 29, 32, 33, 34, 35, 36, 39, 40, 41, 42, 43, 46, 47, 48, 49, 50, 53, 54, 55, 56, 57, 60, 61, 62, 63, 64, 67, 68, 69, 70, 71, 74, 75, 76, 77, 78

Offset

1,3

Links

Table of n, a(n) for n=1..57.

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

Formula

G.f.: x^2*(1 + 3*x + x^2 + x^3 + x^4) / ( (1 + x + x^2 + x^3 + x^4)*(x-1)^2 ). - R. J. Mathar, Dec 03 2011

Mathematica

Select[Range[0, 100], MemberQ[{0, 1, 4, 5, 6}, Mod[#, 7]]&] (* Harvey P. Dale, Jun 18 2012 *)

Crossrefs

Sequence in context: A003666 A334917 A295742 * A298670 A039040 A129740

Adjacent sequences: A047311 A047312 A047313 * A047315 A047316 A047317

Keyword

nonn

Author

N. J. A. Sloane

Status

approved