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a(n) is the next larger than A208982(n) number with mutual Hamming distance 1.
2

%I #20 Feb 01 2014 07:27:18

%S 3,3,7,5,7,7,11,11,13,31,17,19,19,23,23,23,31,31,29,31,31,37,47,41,43,

%T 43,47,47,47,53,59,59,61,127,67,67,71,71,71,79,73,79,79,79,83,83,89,

%U 127,97,103,101,103,103,107,107,109,127,113,127,127,127,127

%N a(n) is the next larger than A208982(n) number with mutual Hamming distance 1.

%C All terms are prime by construction of A208982, and prime p occurs k times iff 2^k||p+1. In particular, every prime of the form 4*k+1 occurs 1 time. Thus all odd primes are in the sequence.

%e Since 2^4 divides 48, but 2^5 not divides, i.e., 2^4||48, then 47 occurs four times.

%Y Cf. A206853, A208982.

%K nonn,base

%O 1,1

%A _Vladimir Shevelev_, Mar 05 2012