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

1,1

Comments

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

Links

Table of n, a(n) for n=1..34.

Index entries for sequences related to Reverse and Add!

Example

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.

Prog

(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, ", ")))}

Crossrefs

Cf. A002113, A023108, A063057, A063048.

Sequence in context: A239506 A237563 A248486 * A145540 A031840 A059667

Adjacent sequences: A069998 A069999 A070000 * A070002 A070003 A070004

Keyword

base,nonn

Author

Klaus Brockhaus, May 06 2002

Status

approved