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Search: id:A070001
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| A070001 |
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Palindromic integers > 0, whose 'Reverse and Add!' trajectory (presumably) does not lead to another palindrome. |
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+0
1
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| 4994, 8778, 9999, 11811, 19591, 22822, 23532, 23632, 23932, 24542, 24742, 24842, 24942, 26362, 27372, 29792, 29892, 33933, 34543, 34743, 34943, 39493, 44744, 46064, 46164, 46364, 46564, 46964, 47274, 47574, 48284, 48584, 48684, 48884
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The computation of a trajectory was stopped when in 1000 steps no further palindrome appeared. Subsequence of A002113 and of A023108.
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LINKS
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Index entries for sequences related to Reverse and Add!
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EXAMPLE
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The initial terms of the trajectory of the palindromic integer 8778 are 8778, 17556, 83127 and 83127 is the third term in the trajectory of 7059 (see A063057) which (presumably) never leads to a palindrome (see A063048), so 8778 is in the present sequence.
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PROGRAM
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(PARI) {stop=1000; for(k=1, 50000, m=k; c=0; p=1; while(c<stop&&p==1, n=m; rev=0; while(n>0, d=divrem(n, 10); n=d[1]; rev=10*rev+d[2]); if(m==k&&rev!=m, p=0); if(m>k&&rev==m, p=0); m=m+rev; c++); if(c==stop&&p==1, print1(k, ", ")))}
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CROSSREFS
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Cf. A002113, A023108, A063057, A063048.
Sequence in context: A037044 A116147 A108837 this_sequence A145540 A031840 A059667
Adjacent sequences: A069998 A069999 A070000 this_sequence A070002 A070003 A070004
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KEYWORD
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base,nonn
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AUTHOR
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Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), May 06 2002
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