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A080714 a(n) is taken to be the (n-th)-smallest positive integer greater than a(n-1) that is consistent with the condition "n is a member of the sequence if and only if a(n) is odd.". 0

%I #7 Mar 30 2012 17:27:18

%S 1,6,12,20,30,41,54,70,88,108,130,153,178,206,236,268,302,338,376,415,

%T 456,500,546,594,644,696,750,806,864,923,984,1048,1114,1182,1252,1324,

%U 1398,1474,1552,1632,1713,1796,1882,1970,2060,2152,2246,2342,2440,2540

%N a(n) is taken to be the (n-th)-smallest positive integer greater than a(n-1) that is consistent with the condition "n is a member of the sequence if and only if a(n) is odd.".

%H B. Cloitre, N. J. A. Sloane and M. J. Vandermast, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL6/Cloitre/cloitre2.html">Numerical analogues of Aronson's sequence</a>, J. Integer Seqs., Vol. 6 (2003), #03.2.2.

%H B. Cloitre, N. J. A. Sloane and M. J. Vandermast, <a href="http://arXiv.org/abs/math.NT/0305308">Numerical analogues of Aronson's sequence</a> (math.NT/0305308)

%e a(2) cannot be 2 because that would require the second term to be odd, a condition 2 does not satisfy. Since 2 is therefore not in the sequence, the second term must be even. The second-smallest even number greater than 2 is 6; therefore a(2) is 6.

%Y Cf. A079000.

%K nonn

%O 1,2

%A _Matthew Vandermast_, Mar 05 2003

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