login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A080606 Golomb's sequence using even integers. 7

%I

%S 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,

%T 14,14,14,16,16,16,16,16,16,18,18,18,18,18,18,18,18,20,20,20,20,20,20,

%U 20,20,22,22,22,22,22,22,22,22,24,24,24,24,24,24,24,24,26,26,26,26,26

%N Golomb's sequence using even integers.

%H Ivan Neretin, <a href="/A080606/b080606.txt">Table of n, a(n) for n = 1..10000</a>

%F 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.

%e 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.

%t a = {2, 2}; Do[a = Join[a, Array[2i&, a[[i]]]], {i, 2, 13}]; a (* _Ivan Neretin_, Apr 03 2015 *)

%Y Cf. A001462, A080605, A080607.

%K nonn

%O 1,1

%A _Benoit Cloitre_, Feb 25 2003

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 13 12:45 EST 2019. Contains 329094 sequences. (Running on oeis4.)