Search: id:A016861
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%I A016861
%S A016861 1,6,11,16,21,26,31,36,41,46,51,56,61,66,71,76,81,86,91,96,101,106,111,
%T A016861 116,121,126,131,136,141,146,151,156,161,166,171,176,181,186,191,196,
%U A016861 201,206,211,216,221,226,231,236,241,246,251,256,261,266,271,276,281
%N A016861 5n+1.
%C A016861 Numbers ending in 1 or 6.
%C A016861 Apart from initial terms, same as 5n-14.
%C A016861 Complement of A047203; A027445(a(n)) mod 10 = 4. - Reinhard Zumkeller 
               (reinhard.zumkeller(AT)gmail.com), Oct 23 2006
%C A016861 Campbell reference shows: "A graph on n vertices with at least 4n-9 edges 
               is intrinsically linked. A graph on n vertices with at least 5n-14 
               edges is intrinsically knotted." - Jonathan Vos Post (jvospost3(AT)gmail.com), 
               Jan 18 2007
%C A016861 Central terms of the triangle in A153125: a(n)=A153125(2*n+1,n+1). [From 
               Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Dec 20 2008]
%H A016861 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/
               RecursiveSequences.html">Recursive Sequences</a>
%H A016861 J. Campbell, T.W. Mattman, R. Ottman, J. Pyzer, M. Rodrigues and S. Williams, 
               <a href="http://arXiv.org/abs/math.GT/0701422">Intrinsic knotting 
               and linking of almost complete graphs</a>, 15 Jan 2007.
%F A016861 G.f.: (1+4*x)/(1-x)^2.
%F A016861 Row sums of triangle A131843 - Gary W. Adamson (qntmpkt(AT)yahoo.com), 
               Jul 21 2007
%t A016861 f[n_]:=5*n+1; lst={};Do[a=f[n];AppendTo[lst,a],{n,0,6!}];lst [From Vladimir 
               Orlovsky (4vladimir(AT)gmail.com), Jun 25 2009]
%o A016861 (Other) sage: [i+1 for i in range(285) if gcd(i,5) == 5] # [From Zerinvary 
               Lajos (zerinvarylajos(AT)yahoo.com), May 20 2009]
%Y A016861 Cf. A093562 ((5, 1) Pascal, column m=1).
%Y A016861 Cf. A131843.
%Y A016861 Sequence in context: A081746 A080900 A080783 this_sequence A145287 A140232 
               A085813
%Y A016861 Adjacent sequences: A016858 A016859 A016860 this_sequence A016862 A016863 
               A016864
%K A016861 nonn,easy
%O A016861 0,2
%A A016861 N. J. A. Sloane (njas(AT)research.att.com).
%E A016861 More terms from Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Oct 23 2006

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