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A079948 First differences of A079000. +0
5
3, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 (list; graph; listen)
OFFSET

1,1

COMMENT

Alternate description of sequence: start with a(1)=3; apply 1->2, 2->11, 3->21; iterate. - Matthew Vandermast (ghodges14(AT)comcast.net), Mar 08 2003

REFERENCES

N. J. A. Sloane, Seven Staggering Sequences, in Homage to a Pied Puzzler, E. Pegg Jr., A. H. Schoen and T. Rodgers (editors), A. K. Peters, Wellesley, MA, 2009, pp. 93-110.

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)

N. J. A. Sloane, Seven Staggering Sequences.

FORMULA

After first two terms, a run of length 3*2^k 1's followed by a run of length 3*2^k 2's, for k = 0, 1, ...

a(n) = floor(log_2(8*(floor((n+3)/3))/3)) - floor(log_2(floor((n+3)/3))) for n>2; with a(1)=3 and a(2)=2. - Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Feb 22 2003

Also a(n) = A079882(A002264(n+3)) for n>2, where A002264=floor(n/3). - Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Feb 22 2003

CROSSREFS

Sequence in context: A073356 A093032 A072115 this_sequence A106689 A027082 A140736

Adjacent sequences: A079945 A079946 A079947 this_sequence A079949 A079950 A079951

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Feb 22 2003

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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