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A047319
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Numbers that are congruent to {5, 6} mod 7.
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1
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5, 6, 12, 13, 19, 20, 26, 27, 33, 34, 40, 41, 47, 48, 54, 55, 61, 62, 68, 69, 75, 76, 82, 83, 89, 90, 96, 97, 103, 104, 110, 111, 117, 118, 124, 125, 131, 132, 138, 139, 145, 146, 152, 153, 159, 160, 166, 167, 173
(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)-3 (with a(1)=5) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 05 2010]
a(n) = 1/4 +7*n/2-5*(-1)^n/4. G.f. x*(5+x+x^2) / ( (1+x)*(x-1)^2 ). - R. J. Mathar, Oct 08 2011
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EXAMPLE
| For n=2,a(2)=7*2-5-3=6; n=3, a(3)=7*3-6-3=12; n=4, a(4)=7*4-12-3=13 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 05 2010]
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CROSSREFS
| Sequence in context: A177714 A099641 A207189 * A185031 A138925 A088767
Adjacent sequences: A047316 A047317 A047318 * A047320 A047321 A047322
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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