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A080667 a(1)=3; for n>1, a(n)=a(n-1)+4 if n is already in the sequence, a(n)=a(n-1)+3 otherwise. +0
1
3, 6, 10, 13, 16, 20, 23, 26, 29, 33, 36, 39, 43, 46, 49, 53, 56, 59, 62, 66, 69, 72, 76, 79, 82, 86, 89, 92, 96, 99, 102, 105, 109, 112, 115, 119, 122, 125, 129, 132, 135, 138, 142, 145, 148, 152, 155, 158, 162, 165, 168, 171, 175, 178, 181, 185, 188 (list; graph; listen)
OFFSET

1,1

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) = floor(n*r + 1/(1+r)) where r = (3 + sqrt(13))/2.

CROSSREFS

Cf. A080455-A080458, A080036, A080037.

Sequence in context: A099822 A117549 A028433 this_sequence A001952 A047280 A049880

Adjacent sequences: A080664 A080665 A080666 this_sequence A080668 A080669 A080670

KEYWORD

nonn

AUTHOR

njas, Mar 23 2003

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Last modified July 6 17:22 EDT 2008. Contains 140988 sequences.


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