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%I #9 Nov 30 2013 11:49:01
%S 2,5,10003,30001,40000,40004,100000,100001,2000000,2000002
%N Numbers n such that there are (presumably) ten palindromes in the Reverse and Add! trajectory of n.
%C Additional terms are 20000000, 20000002, 200000000, 200000002, 2000000000, 2000000002, 10000000004, 10000100001, 20000000000, 20000000002, 20000000003, 30000000002, 40000000001, but it is not yet ascertained that they are consecutive.
%C For all terms given above each palindrome is reached from the preceding one or from the start in at most 35 steps; after the presumably last one no further palindrome is reached in 5000 steps.
%H <a href="/index/Res#RAA">Index entries for sequences related to Reverse and Add!</a>
%e The trajectory of 2 begins 2, 4, 8, 16, 77, 154, 605, 1111, 2222, 4444, 8888, 17776, 85547, 160105, 661166, 1322332, 3654563, 7309126, ...; at 7309126 it joins the (presumably) palindrome-free trajectory of A063048(7) = 10577, hence 2, 4, 8, 77, 1111, 2222, 4444, 8888, 661166 and 3654563 are the ten palindromes in the trajectory of 2 and 2 is a term.
%Y Cf. A023108, A023109, A065001, A070742, A077594.
%K nonn,base
%O 1,1
%A _Klaus Brockhaus_, Nov 20 2003
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