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A047243
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Numbers that are congruent to {2, 3} mod 6.
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2
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2, 3, 8, 9, 14, 15, 20, 21, 26, 27, 32, 33, 38, 39, 44, 45, 50, 51, 56, 57, 62, 63, 68, 69, 74, 75, 80, 81, 86, 87, 92, 93, 98, 99, 104, 105, 110, 111, 116, 117, 122, 123, 128, 129, 134, 135, 140, 141, 146, 147, 152, 153, 158, 159, 164, 165, 170, 171, 176, 177, 182, 183
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Solutions to 3^x - 2^x == 5 (mod 7). - Cino Hilliard (hillcino368(AT)gmail.com), May 09 2003
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REFERENCES
| Emil Grosswald, Topics From the Theory of Numbers. 1966 p 65 problem 23
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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)=6*n-a(n-1)-7 (with a(1)=2) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 05 2010]
G.f. x*(2+x+3*x^2) / ( (1+x)*(x-1)^2 ). - R. J. Mathar, Oct 08 2011
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EXAMPLE
| For n=2, a(2)=6*2-2-7=3, n=3, a(3)=6*3-3-7=8; n=4, a(4)=6*4-8-7=9 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 05 2010]
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CROSSREFS
| Cf. A030531.
Sequence in context: A004825 A028821 A075190 * A099148 A029787 A054462
Adjacent sequences: A047240 A047241 A047242 * A047244 A047245 A047246
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Cino Hilliard (hillcino368(AT)gmail.com), May 09 2003
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