cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A077594 Smallest number whose Reverse and Add! trajectory (presumably) contains exactly n palindromes, or -1 if there is no such number.

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%I A077594 #5 Mar 30 2012 17:27:39
%S A077594 196,89,49,18,9,14,7,6,3,4,2,1,10000,-1,-1,-1,-1,-1,-1,-1,-1
%N A077594 Smallest number whose Reverse and Add! trajectory (presumably) contains exactly n palindromes, or -1 if there is no such number.
%C A077594 Conjecture 1: For each k > 0 the trajectory of k eventually leads to a term in the trajectory of some j which belongs to A063048, i.e. whose trajectory (presumably) never leads to a palindrome. Conjecture 2: There is no k > 0 such that the trajectory of k contains more than twelve palindromes, i.e. a(n) = -1 for n > 12.
%H A077594 <a href="/index/Res#RAA">Index entries for sequences related to Reverse and Add!</a>
%e A077594 a(9) = 4 since the trajectory of 4 contains the nine palindromes 4, 8, 77, 1111, 2222, 4444, 8888, 661166, 3654563 and at 7309126 joins the trajectory of 10577 = A063048(6) and no m < 4 contains exactly nine palindromes.
%Y A077594 Cf. A002113, A006960, A023108, A063048, A063433, A065001, A070742.
%K A077594 base,sign
%O A077594 0,1
%A A077594 _Klaus Brockhaus_, Nov 08 2002