A047305 - OEIS

A047305

Numbers that are congruent to {2, 3, 4, 5, 6} mod 7.

2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 16, 17, 18, 19, 20, 23, 24, 25, 26, 27, 30, 31, 32, 33, 34, 37, 38, 39, 40, 41, 44, 45, 46, 47, 48, 51, 52, 53, 54, 55, 58, 59, 60, 61, 62, 65, 66, 67, 68, 69, 72, 73, 74, 75, 76, 79

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OFFSET

1,1

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 + 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

MATHEMATICA

Select[Range[100], MemberQ[{2, 3, 4, 5, 6}, Mod[#, 7]]&] (* or *) LinearRecurrence[ {1, 0, 0, 0, 1, -1}, {2, 3, 4, 5, 6, 9}, 80] (* Harvey P. Dale, Oct 06 2015 *)

CROSSREFS

Sequence in context: A047422 A340152 A160532 * A032878 A032845 A023776

Adjacent sequences: A047302 A047303 A047304 * A047306 A047307 A047308

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved