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A047280
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Numbers that are congruent to {3, 6} mod 7.
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0
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3, 6, 10, 13, 17, 20, 24, 27, 31, 34, 38, 41, 45, 48, 52, 55, 59, 62, 66, 69, 73, 76, 80, 83, 87, 90, 94, 97, 101, 104, 108, 111, 115, 118, 122, 125, 129, 132, 136, 139, 143, 146, 150, 153, 157, 160, 164, 167, 171
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (1,1,-1).
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FORMULA
| a(n)=7*n-a(n-1)-5 (with a(1)=3) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 05 2010]
G.f. x*(3+3*x+x^2) / ( (1+x)*(x-1)^2 ). - R. J. Mathar, Oct 25 2011
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EXAMPLE
| For n=2, a(2)=7*2-3-5=6; n=3, a(3)=7*3-6-5=10; n=4, a(4)=7*4-10-5=13 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 05 2010]
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MATHEMATICA
| Flatten[#+{3, 6}&/@(7Range[0, 30])] (* From Harvey P. Dale, Jan 11 2011 *)
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CROSSREFS
| Sequence in context: A189795 A145383 A194028 * A189524 A049880 A189368
Adjacent sequences: A047277 A047278 A047279 * A047281 A047282 A047283
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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