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

1,2

Links

Table of n, a(n) for n=1..50.

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)

Example

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.

Crossrefs

Cf. A079000.

Sequence in context: A109895 A083209 A339858 * A116368 A343065 A290467

Adjacent sequences: A080711 A080712 A080713 * A080715 A080716 A080717

Keyword

nonn

Author

Matthew Vandermast, Mar 05 2003

Status

approved