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.".

1, 6, 12, 20, 30, 41, 54, 70, 88, 108, 130, 153, 178, 206, 236, 268, 302, 338, 376, 415, 456, 500, 546, 594, 644, 696, 750, 806, 864, 923, 984, 1048, 1114, 1182, 1252, 1324, 1398, 1474, 1552, 1632, 1713, 1796, 1882, 1970, 2060, 2152, 2246, 2342, 2440, 2540

Offset: 1

Author

Matthew Vandermast, Mar 05 2003

Keywords

• nonn

Examples

			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.
		

Links

• B. Cloitre, N. J. A. Sloane and M. J. Vandermast, Numerical analogues of Aronson's sequence, J. Integer Seqs., Vol. 6 (2003), #03.2.2.
• B. Cloitre, N. J. A. Sloane and M. J. Vandermast, Numerical analogues of Aronson's sequence (math.NT/0305308)

Crossrefs

Cf. A079000.