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Fermi-Dirac analog of EKG sequence (A064413): a(1)=1; a(2)=2; for n > 2, a(n) = smallest number not already used which shares a Fermi-Dirac factor with a(n-1).
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%I #7 Apr 02 2015 12:09:35

%S 1,2,6,3,12,4,8,10,5,15,20,24,14,7,21,27,9,18,22,11,33,30,26,13,39,42,

%T 28,35,40,32,16,48,51,17,34,38,19,57,54,36,44,52,56,46,23,69,60,45,55,

%U 65,70,50,25,75,66,58,29,87,78,62,31,93,84,63,72,64,68

%N Fermi-Dirac analog of EKG sequence (A064413): a(1)=1; a(2)=2; for n > 2, a(n) = smallest number not already used which shares a Fermi-Dirac factor with a(n-1).

%C Every positive integer is a unique product of distinct terms of A050376, which is called a Fermi-Dirac factorization of n.

%H Peter J. C. Moses, <a href="/A256466/b256466.txt">Table of n, a(n) for n = 1..1000</a>

%Y Cf. A064413, A050376.

%K nonn

%O 1,2

%A _Vladimir Shevelev_, Mar 30 2015

%E More terms from _Peter J. C. Moses_, Mar 30 2015