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0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105, 108, 111, 114, 117, 120, 123, 126, 129, 132, 135, 138, 141, 144, 147, 150, 153, 156, 159, 162, 165, 168, 171, 174
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| If n != 1 and n^2+2 is prime then n is a member of this sequence. [Cino Hilliard (hillcino368(AT)hotmail.com), Mar 19 2007]
Multiples of 3. Positive members of this sequence are the third transversal numbers (or 3-transversal numbers): Numbers of the 3rd column of positive numbers in the square array of nonnegative and polygonal numbers A139600. Also, numbers of the 3rd column in the square array A057145. [Omar E. Pol, May 02 2008]
Numbers n for which polynomial 27*x^6-2^n is factorizable. [From Artur Jasinski, Nov 01 2008]
1/7 in base 2 notation = .001001001,...= 1/2^3 + 1/2^6 + 1/2^9 + ... [From Gary W. Adamson, Jan 24 2009]
A165330(a(n)) = 153 for n > 0; subsequence of A165332. [From Reinhard Zumkeller, Sep 17 2009]
A011655(a(n)) = 0. [From Reinhard Zumkeller, Nov 30 2009]
Numbers that are congruent to {0,3} mod 6. - From DELEHAM Philippe, Oct 17 2011.
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..5000
Index entries for sequences related to linear recurrences with constant coefficients, signature (2,-1).
A. S. Fraenkel, New games related to old and new sequences, INTEGERS, Electronic J. of Combinatorial Number Theory, Vol. 4, Paper G6, 2004.
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 315
Tanya Khovanova, Recursive Sequences
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FORMULA
| G.f.: 3*x/(1-x)^2. [From R. J. Mathar, Oct 23 2008]
a(n)=A008486(n), n>0. [From R. J. Mathar, Oct 28 2008]
a(n)=Sum_k>=0 {A030308(n,k)*A007283(k)}. - From DELEHAM Philippe, Oct 17 2011.
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MATHEMATICA
| Range[0, 500, 3] (* From Vladimir Joseph Stephan Orlovsky, May 26 2011 *)
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PROG
| (MAGMA) [3*n: n in [0..60]]; // Vincenzo Librandi, Jul 23 2011
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CROSSREFS
| Cf. A016957, A057145, A139600, A139606.
A165340. [From Reinhard Zumkeller, Sep 17 2009]
Sequence in context: A160930 A161351 * A031193 A008486 A135943 A194416
Adjacent sequences: A008582 A008583 A008584 * A008586 A008587 A008588
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| Partially edited by Joerg Arndt (arndt(AT)jjj.de), Mar 11 2010
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