A070001 Palindromic integers > 0, whose 'Reverse and Add!' trajectory (presumably) does not lead to another palindrome.

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

Offset: 1

Author

Klaus Brockhaus, May 06 2002

Keywords

• base
• nonn

Comments

The computation of a trajectory was stopped when in 1000 steps no further palindrome appeared. Subsequence of A002113 and of A023108.

Examples

			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.
		

Links

• Index entries for sequences related to Reverse and Add!

Crossrefs

Cf. A002113, A023108, A063057, A063048.

Programs

PARI

{stop=1000; for(k=1,50000,m=k; c=0; p=1; while(c0,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,",")))}