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 A066059 Integers such that the 'Reverse and Add!' algorithm in base 2 (cf. A062128) does not lead to a palindrome. 14
 22, 26, 28, 35, 37, 41, 46, 47, 49, 60, 61, 67, 75, 77, 78, 84, 86, 89, 90, 94, 95, 97, 105, 106, 108, 110, 116, 120, 122, 124, 125, 131, 135, 139, 141, 147, 149, 152, 155, 157, 158, 163, 164, 166, 169, 172, 174, 177, 180, 182, 185, 186, 190, 191, 193, 197, 199 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The analog of A023108 in base 2. It seems that for all these numbers it can be proven that they never reach a palindrome. For this it is sufficient to prove this for all seeds as given in A075252. As observed, for all numbers in A075252, lim_{n -> inf} t(n+1)/t(n) is 1 or 2 (1 for even n, 2 for odd n or reverse); i.e., lim_{n -> inf} t(n+2)/t(n) = 2, t(n) being the n-th term of the trajectory. - A.H.M. Smeets, Feb 10 2019 LINKS A.H.M. Smeets, Table of n, a(n) for n = 1..20000 Klaus Brockhaus, On the'Reverse and Add!' algorithm in base 2 PROG (ARIBAS): For function b2reverse see A066057; function a066059(mx, stop: integer); var k, c, m, rev: integer; begin for k := 1 to mx do c := 0; m := k; rev := b2reverse(m); while m <> rev and c < stop do inc(c); m := m + rev; rev := b2reverse(m); end; if c >= stop then write(k, " "); end; end; end; a066059(210, 300). CROSSREFS Cf. A062128, A023108, A062130, A033865, A058042, A061561, A066057. Sequence in context: A260990 A260991 A160078 * A084891 A162422 A063940 Adjacent sequences:  A066056 A066057 A066058 * A066060 A066061 A066062 KEYWORD base,nonn AUTHOR Klaus Brockhaus, Dec 04 2001 STATUS approved

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Last modified September 20 20:12 EDT 2019. Contains 327247 sequences. (Running on oeis4.)