A047330 Numbers that are congruent to {0, 1, 3, 5, 6} mod 7.

0, 1, 3, 5, 6, 7, 8, 10, 12, 13, 14, 15, 17, 19, 20, 21, 22, 24, 26, 27, 28, 29, 31, 33, 34, 35, 36, 38, 40, 41, 42, 43, 45, 47, 48, 49, 50, 52, 54, 55, 56, 57, 59, 61, 62, 63, 64, 66, 68, 69, 70, 71, 73, 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 + 2*x + 2*x^2 + x^3 + x^4) / ( (x^4 + x^3 + x^2 + x + 1)*(x-1)^2 ). - R. J. Mathar, Dec 04 2011

Mathematica

#+{0, 1, 3, 5, 6}&/@(7 Range[0, 20])//Flatten (* or *) LinearRecurrence[ {1, 0, 0, 0, 1, -1}, {0, 1, 3, 5, 6, 7}, 100] (* Harvey P. Dale, Feb 26 2022 *)

Crossrefs

Sequence in context: A160685 A080218 A080651 * A093511 A039041 A079253

Adjacent sequences: A047327 A047328 A047329 * A047331 A047332 A047333

Keyword

nonn

Author

N. J. A. Sloane

Status

approved