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A080036 n + round(sqrt(2*n)) + 1. 19
1, 3, 5, 6, 8, 9, 10, 12, 13, 14, 15, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 80, 81, 82, 83, 84, 85, 86 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

a(0)=1, a(1)=3; for n>1, a(n)=a(n-1)+1 if n is already in the sequence, a(n)=a(n-1)+2 otherwise.

Sequence (without first term) is complement of A000124 (central polygonal numbers). [From Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Jun 16 2009]

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)

FORMULA

a(n) = A003057(n+1) + n. [From Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Jun 16 2009]

CROSSREFS

Equals A014132 + 1. Cf. A080037.

Different from A105206.

Sequence in context: A175966 A121882 A105206 * A165290 A026430 A002150

Adjacent sequences:  A080033 A080034 A080035 * A080037 A080038 A080039

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Mar 14 2003

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Last modified February 17 13:28 EST 2012. Contains 206031 sequences.