A047308 Numbers that are congruent to {0, 3, 4, 5, 6} mod 7.

0, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 17, 18, 19, 20, 21, 24, 25, 26, 27, 28, 31, 32, 33, 34, 35, 38, 39, 40, 41, 42, 45, 46, 47, 48, 49, 52, 53, 54, 55, 56, 59, 60, 61, 62, 63, 66, 67, 68, 69, 70, 73, 74, 75, 76, 77

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

Mathematica

LinearRecurrence[{1, 0, 0, 0, 1, -1}, {0, 3, 4, 5, 6, 7}, 60] (* Harvey P. Dale, Jan 10 2021 *)

Crossrefs

Sequence in context: A128659 A364083 A022555 * A092860 A351392 A112874

Adjacent sequences: A047305 A047306 A047307 * A047309 A047310 A047311

Keyword

nonn

Author

N. J. A. Sloane

Status

approved