|
| |
|
|
A077594
|
|
Smallest number whose Reverse and Add! trajectory (presumably) contains exactly n palindromes, or -1 if there is no such number.
|
|
16
| |
|
|
196, 89, 49, 18, 9, 14, 7, 6, 3, 4, 2, 1, 10000, -1, -1, -1, -1, -1, -1, -1, -1
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,1
|
|
|
COMMENTS
| Conjecture 1: For each k > 0 the trajectory of k eventually leads to a term in the trajectory of some j which belongs to A063048, i.e. whose trajectory (presumably) never leads to a palindrome. Conjecture 2: There is no k > 0 such that the trajectory of k contains more than twelve palindromes, i.e. a(n) = -1 for n > 12.
|
|
|
LINKS
| Index entries for sequences related to Reverse and Add!
|
|
|
EXAMPLE
| a(9) = 4 since the trajectory of 4 contains the nine palindromes 4, 8, 77, 1111, 2222, 4444, 8888, 661166, 3654563 and at 7309126 joins the trajectory of 10577 = A063048(6) and no m < 4 contains exactly nine palindromes.
|
|
|
CROSSREFS
| Cf. A002113, A006960, A023108, A063048, A063433, A065001, A070742.
Sequence in context: A084232 A145305 A174890 * A044870 A151713 A118781
Adjacent sequences: A077591 A077592 A077593 * A077595 A077596 A077597
|
|
|
KEYWORD
| base,sign
|
|
|
AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Nov 08 2002
|
| |
|
|
