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A047314 Numbers that are congruent to {0, 1, 4, 5, 6} mod 7. 0
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 17 17:21 EDT 2021. Contains 348065 sequences. (Running on oeis4.)