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A047471
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Numbers that are congruent to {1, 3} mod 8.
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1
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1, 3, 9, 11, 17, 19, 25, 27, 33, 35, 41, 43, 49, 51, 57, 59, 65, 67, 73, 75, 81, 83, 89, 91, 97, 99, 105, 107, 113, 115, 121, 123, 129, 131, 137, 139, 145, 147, 153, 155, 161, 163, 169, 171, 177, 179, 185, 187, 193, 195, 201, 203, 209, 211, 217, 219, 225, 227, 233
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| G.f.: x*(1+2*x+5*x^2)/((1+x)*(1-x)^2); - Paul Barry (pbarry(AT)wit.ie), Apr 10 2008
a(n)=4*(n-1)-(-1)^n [From Rolf Pleisch (r_pleisch(AT)gmx.ch), Aug 04 2009]
a(n)=8*n-a(n-1)-12 (with a(1)=1) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 06 2010]
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EXAMPLE
| For n=2, a(2)=8*2-1-12=3; n=3, a(3)=8*3-3-12=9; n=4, a(4)=8*4-9-12=11 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 06 2010]
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CROSSREFS
| Sequence in context: A096187 A194401 A190238 * A201544 A157139 A050538
Adjacent sequences: A047468 A047469 A047470 * A047472 A047473 A047474
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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 Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 06 2010
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