

A090068


Numbers n such that there are (presumably) seven palindromes in the Reverse and Add! trajectory of n.


0



6, 13, 16, 25, 31, 34, 40, 43, 44, 52, 61, 70, 77, 104, 111, 115, 145, 158, 200, 202, 203, 214, 244, 250, 257, 302, 356, 399, 401, 412, 414, 442, 455, 498, 500, 505, 511, 519, 529, 541, 554, 597, 610, 618, 626, 628, 640, 653, 656, 686, 752, 795, 797, 816, 826
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


COMMENTS

For terms < 2000 each palindrome is reached from the preceding one or from the start in at most 24 steps; after the presumably last one no further palindrome is reached in 2000 steps.


LINKS



EXAMPLE

The trajectory of 25 begins 25, 77, 154, 605, 1111, 2222, 4444, 8888, 17776, 85547, 160105, 661166, 1322332, 3654563,7309126, ...; at 7309126 it joins the (presumably) palindromefree trajectory of A063048(7) = 10577, hence 77, 1111, 2222, 4444, 8888, 661166 and 3654563 are the seven palindromes in the trajectory of 25 and 25 is a term.


CROSSREFS



KEYWORD

nonn,base


AUTHOR



STATUS

approved



