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A145668 a(n) = size of the n-th term in S(2) (defined in Comments).

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%I A145668 #9 Dec 24 2024 08:41:01
%S A145668 2,2,1,1,5,3,4,9,2,1,1,7,4,1,1,4,1,1,1,1,1,1,1,12,1,20,1,1,1,1,1,1,1,
%T A145668 1,1,5,29,19,1,1,1,1,1,1,1,4,1,1,2,1,1,1,3,1,75,2,19,4,1,7,1,1,1,1,1,
%U A145668 1,1,1,1,1,2,1,4,1,1,1,2,1,2,1,1,1,1,23,1,82,76,1,1,3,1,1,3,3,4,2,3,3,1,2,1,1,3,1,1,1,3,1,3,1,9,1,2,1,1,1,3,2,2,1,1,1,1,1,1,1
%N A145668 a(n) = size of the n-th term in S(2) (defined in Comments).
%C A145668 Let H(L,b) be the Hamming graph whose vertices are the sequences of length L over the alphabet {0,1,...,b-1} with adjacency being defined by having Hamming distance 1. Let P(L,b) be the subgraph of H(L,b) induced by the set of vertices which are base b representations of primes with L digits (not allowing leading 0 digits). Let S(b) be the sequence of all components of the graphs P(L,b), L>0, sorted by the smallest prime in a component.
%H A145668 Max Alekseyev, <a href="/A145668/b145668.txt">Table of n, a(n) for n = 1..100000</a>
%Y A145668 Cf. A104080, A014234, A145667, A145669, A145670, A145671, A145672, A145673, A145674, A158576, A158577, A158578, A158579.
%K A145668 nonn,base
%O A145668 1,1
%A A145668 _W. Edwin Clark_, Mar 17 2009
%E A145668 More terms from _Max Alekseyev_, May 12 2011