cp's OEIS Frontend

A089494 a(n) = smallest non-palindromic k such that the Reverse and Add! trajectory of k is palindrome-free and joins the trajectory of A070788(n).

%I A089494 #8 Nov 04 2019 02:19:40
%S A089494 10577,1000000537869,100000070637875,10004697841,10000671273,
%T A089494 100010097365,990699,1997,19098,10563,109918,10735,101976,
%U A089494 1060004932996,100059426,90379,10003991597,100000089687980,90900469909,13097,1005989
%N A089494 a(n) = smallest non-palindromic k such that the Reverse and Add! trajectory of k is palindrome-free and joins the trajectory of A070788(n).
%C A089494 a(3), a(14) and a(18) are conjectural; it is not yet ensured that they are minimal.
%C A089494 a(n) >= A070788(n); a(n) = A070788(n) iff the trajectory of A070788(n) is palindrome-free, i.e. A070788(n) is also a term of A063048.
%C A089494 a(n) determines a 1-1-mapping from the terms of A070788 to the terms of A063048, the inverse of the mapping determined by A089493. Terms > 2*10^6 were ascertained with the aid of W. VanLandingham's list of Lychrel numbers.
%C A089494 The 1-1 property of the mapping depends on the conjecture that the Reverse and Add! trajectory of each term of A070788 contains only a finite number of palindromes (cf. A077594). - _Klaus Brockhaus_, Dec 09 2003
%H A089494 W. VanLandingham, <a href="http://www.p196.org/">196 and Other Lychrel Numbers</a>
%H A089494 <a href="/index/Res#RAA">Index entries for sequences related to Reverse and Add!</a>
%e A089494 A070788(1) = 1, the trajectory of 1 joins the trajectory of 10577 = A063048(7) at 7309126, so a(1) = 10577.
%e A089494 A070788(8) = 106, the trajectory of 106 joins the trajectory of 1997 = A063048(3) at 97768, so a(8) = 1997.
%Y A089494 Cf. A063048, A070788, A089493, A077594.
%K A089494 nonn,base
%O A089494 1,1
%A A089494 _Klaus Brockhaus_, Nov 04 2003