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A080606
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Golomb's sequence using even integers.
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7
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2, 2, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 14, 14, 14, 14, 14, 14, 16, 16, 16, 16, 16, 16, 18, 18, 18, 18, 18, 18, 18, 18, 20, 20, 20, 20, 20, 20, 20, 20, 22, 22, 22, 22, 22, 22, 22, 22, 24, 24, 24, 24, 24, 24, 24, 24, 26, 26, 26, 26, 26
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graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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LINKS
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Ivan Neretin, Table of n, a(n) for n = 1..10000
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FORMULA
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a(n) is asymptotic to tau^(2-tau)*(2n)^(tau-1) and more precisely it seems that a(n) = round(tau^(2-tau)*(2n)^(tau-1)) +(-1, +0 or +1) where tau is the golden ratio.
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EXAMPLE
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Read 2,2,4,4,6,6,6,6,8,8,8,8,10,10,10,10,10,10 as (2,2),(4,4),(6,6,6,6),(8,8,8,8),(10,10,10,10,10,10) count occurrences between 2 parentheses, gives 2,2,4,4,6,... which is the sequence itself.
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MATHEMATICA
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a = {2, 2}; Do[a = Join[a, Array[2i&, a[[i]]]], {i, 2, 13}]; a (* Ivan Neretin, Apr 03 2015 *)
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CROSSREFS
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Cf. A001462, A080605, A080607.
Sequence in context: A257686 A057144 A198332 * A083535 A250983 A070320
Adjacent sequences: A080603 A080604 A080605 * A080607 A080608 A080609
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre, Feb 25 2003
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STATUS
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approved
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