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A047313
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Numbers that are congruent to {1, 4, 5, 6} mod 7.
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0
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1, 4, 5, 6, 8, 11, 12, 13, 15, 18, 19, 20, 22, 25, 26, 27, 29, 32, 33, 34, 36, 39, 40, 41, 43, 46, 47, 48, 50, 53, 54, 55, 57, 60, 61, 62, 64, 67, 68, 69, 71, 74, 75, 76, 78, 81, 82, 83, 85, 88, 89, 90, 92, 95, 96, 97, 99, 102, 103, 104, 106, 109, 110, 111
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (1,0,0,1,-1)
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FORMULA
| G.f.: x*(1+3*x+x^2+x^3+x^4) / ( (1+x)*(1+x^2)*(x-1)^2 ). - R. J. Mathar, Dec 03 2011
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MAPLE
| a:= n-> iquo(n-1, 4, 'r')*7 +[1, 4, 5, 6][r+1]:
seq (a(n), n=1..80); # Alois P. Heinz, Dec 04 2011
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MATHEMATICA
| Select[Range[100], MemberQ[{1, 4, 5, 6}, Mod[#, 7]]&] (* From Harvey P. Dale, Apr 17 2011 *)
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CROSSREFS
| Sequence in context: A035065 A035067 A027698 * A030343 A030590 A047430
Adjacent sequences: A047310 A047311 A047312 * A047314 A047315 A047316
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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