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A237359 a(n) is the largest integer that makes A237354(a(n))=n.

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%I A237359 #11 Oct 02 2014 23:01:16
%S A237359 2,3,7,23,89,389,2297,13903,82829,508847
%N A237359 a(n) is the largest integer that makes A237354(a(n))=n.
%C A237359 a(0)-a(7) are primes, while a(8) = 113*733. Probably, a(9) = 508847 and a(10) = 3699977. - _Giovanni Resta_, Feb 23 2014
%C A237359 Probably, a(11) = 28644529 and a(12) = 235037603. - _Hiroaki Yamanouchi_, Oct 02 2014
%e A237359 A237354(2)=0 and this is the only 0 in A237354. So a(0)=2;
%e A237359 A237354(3)=1 and this is the only 1 in A237354. So a(1)=3;
%e A237359 A237354(4,5,6,7)=2, the largest one is A237354(7).  So a(2)=7;
%e A237359 There are 10 numbers between (include) 8 and 23 that make A237354(n)=3.  The largest one is 23.  There is no more A237354(n)=3 checked up to n=2*3*5+1=31.  So a(3)=23;
%e A237359 Checked up to n=2*3*5*7+1=211, we got a(4)=89;
%e A237359 Checked up to n=2*3*5*7*11+1=2311, we got a(5)=389;
%e A237359 Checked up to n=2*3*5*7*11*13+1=30031, we got a(6)=2297;
%Y A237359 Cf. A237354.
%K A237359 nonn,hard,more
%O A237359 0,1
%A A237359 _Lei Zhou_, Feb 06 2014
%E A237359 a(8) from _Giovanni Resta_, Feb 23 2014
%E A237359 a(9) from _Hiroaki Yamanouchi_, Oct 02 2014