# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a091677 Showing 1-1 of 1 %I A091677 #7 Jul 11 2015 00:51:40 %S A091677 469892287,318,68346,66349,269237759,272353,110333,1082314,4279,3903, %T A091677 1049659,290,1210,4334,275436,4199,73784,2082046,5046,4212653,1052467, %U A091677 4768988414,1073998008,1051069,1058784,719,795,799,265038,119810013 %N A091677 a(n) = smallest non-palindromic k such that the base-4 Reverse and Add! trajectory of k is palindrome-free and joins the trajectory of A091675(n). %C A091677 a(1), a(5), a(22), a(23) and a(30) are conjectural; it is not yet ensured that they are minimal. %C A091677 a(n) >= A091675(n); a(n) = A091675(n) iff the trajectory of A091675(n) is palindrome-free, i.e., A091675(n) is also a term of A075421. %C A091677 a(n) determines a 1-1-mapping from the terms of A091675 to the terms of A075421, the inverse of the mapping determined by A091676. %C A091677 The 1-1 property of the mapping depends on the conjecture that the base-4 Reverse and Add! trajectory of each term of A091675 contains only a finite number of palindromes (cf. A091680). %C A091677 Base-4 analog of A089494. %H A091677 Index entries for sequences related to Reverse and Add! %e A091677 A091675(2) = 3, the trajectory of 3 joins the trajectory of 318 = A075421(2) at 20966400, so a(2) = 318. A091675(4) = 22, the trajectory of 22 joins the trajectory of 66349 = A075421(130) at 600785, so a(4) = 66349. %Y A091677 Cf. A075421, A091675, A091676, A091680, A089494. %K A091677 nonn,base %O A091677 1,1 %A A091677 _Klaus Brockhaus_, Jan 28 2004 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE