

A080606


Golomb's sequence using even integers.


7



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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OFFSET

1,1


LINKS

Ivan Neretin, Table of n, a(n) for n = 1..10000


FORMULA

a(n) is asymptotic to tau^(2tau)*(2n)^(tau1) and more precisely it seems that a(n) = round(tau^(2tau)*(2n)^(tau1)) +(1, +0 or +1) where tau is the golden ratio.


EXAMPLE

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.


MATHEMATICA

a = {2, 2}; Do[a = Join[a, Array[2i&, a[[i]]]], {i, 2, 13}]; a (* Ivan Neretin, Apr 03 2015 *)


CROSSREFS

Cf. A001462, A080605, A080607.
Sequence in context: A257686 A057144 A198332 * A083535 A250983 A070320
Adjacent sequences: A080603 A080604 A080605 * A080607 A080608 A080609


KEYWORD

nonn


AUTHOR

Benoit Cloitre, Feb 25 2003


STATUS

approved



