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Search: id:A033865
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| A033865 |
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Start with n; if palindrome, stop; otherwise add to itself with digits reversed; a(n) gives palindrome at which it stops, or -1 if no palindrome is ever reached. |
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+0
41
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| 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 33, 44, 55, 66, 77, 88, 99, 121, 22, 33, 22, 55, 66, 77, 88, 99, 121, 121, 33, 44, 55, 33, 77, 88, 99, 121, 121, 363, 44, 55, 66, 77, 44, 99, 121, 121, 363, 484, 55, 66, 77, 88, 99, 55, 121, 363, 484, 1111, 66, 77, 88, 99, 121, 121, 66, 484, 1111, 4884, 77, 88, 99, 121, 121, 363, 484, 77, 4884, 44044, 88
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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M. Donner, I Love Me, Vol. I: S. Wordrow's palindromic encyclopedia (Algonquin Books, 1996) p. 268
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..195
O. Forster, ARIBAS
Mathforum, Making Numbers into Palindromic Numbers
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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EXAMPLE
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19 -> 19 + 91 = 110 -> 110 + 011 = 121, so a(19) = 121.
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PROGRAM
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(ARIBAS): var st: stack; end; for k := 0 to 60 do n := k; while n <> int_reverse(n) do n := n + int_reverse(n); end; stack_push(st, n); end; stack2array(st).
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CROSSREFS
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Cf. A061563, A016016, A023109, A006960, A023108, A002113.
Sequence in context: A033862 A082273 A045876 this_sequence A118764 A057717 A063742
Adjacent sequences: A033862 A033863 A033864 this_sequence A033866 A033867 A033868
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KEYWORD
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nonn,base,nice
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AUTHOR
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David W. Wilson (davidwwilson(AT)comcast.net)
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EXTENSIONS
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Probably a(196) = -1.
More terms from Jenise Smalley (neicey01(AT)hotmail.com), Oct 18 2001
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