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A047295 Numbers that are congruent to {0, 1, 2, 4, 6} mod 7. 0
0, 1, 2, 4, 6, 7, 8, 9, 11, 13, 14, 15, 16, 18, 20, 21, 22, 23, 25, 27, 28, 29, 30, 32, 34, 35, 36, 37, 39, 41, 42, 43, 44, 46, 48, 49, 50, 51, 53, 55, 56, 57, 58, 60, 62, 63, 64, 65, 67, 69, 70, 71, 72, 74, 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 + x + 2*x^2 + 2*x^3 + x^4) / ( (x^4 + x^3 + x^2 + x + 1)*(x-1)^2 ). - R. J. Mathar, Oct 25 2011

MATHEMATICA

Select[Range[0, 100], MemberQ[{0, 1, 2, 4, 6}, Mod[#, 7]]&] (* or *) LinearRecurrence[ {1, 0, 0, 0, 1, -1}, {0, 1, 2, 4, 6, 7}, 60] (* Harvey P. Dale, Nov 24 2018 *)

CROSSREFS

Sequence in context: A101616 A322678 A285137 * A039045 A050481 A285416

Adjacent sequences:  A047292 A047293 A047294 * A047296 A047297 A047298

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified May 6 01:03 EDT 2021. Contains 343579 sequences. (Running on oeis4.)