A090069 Numbers n such that there are (presumably) eight palindromes in the Reverse and Add! trajectory of n.

3, 8, 20, 22, 100, 101, 116, 122, 139, 151, 160, 215, 221, 238, 313, 314, 320, 337, 343, 413, 436, 512, 611, 634, 696, 710, 717, 727, 733, 832, 931, 1004, 1011, 1070, 1101, 1160, 1250, 1340, 1430, 1520, 1610, 1700, 1771, 2000, 2002, 2003, 2010, 2100, 2112

Offset

1,1

Comments

For terms <= 5000 each palindrome is reached from the preceding one or from the start in at most 15 steps; after the presumably last one no further palindrome is reached in 2000 steps.

Links

Table of n, a(n) for n=1..49.

Index entries for sequences related to Reverse and Add!

Example

The trajectory of 8 begins 8, 16, 77, 154, 605, 1111, 2222, 4444, 8888, 17776, 85547, 160105, 661166, 1322332, 3654563, 7309126, ...; at 7309126 it joins the (presumably) palindrome-free trajectory of A063048(7) = 10577, hence 8, 77, 1111, 2222, 4444, 8888, 661166 and 3654563 are the eight palindromes in the trajectory of 8 and 8 is a term.

Crossrefs

Cf. A023108, A023109, A065001, A070742, A077594.

Sequence in context: A304256 A060305 A009141 * A272528 A195676 A027299

Adjacent sequences: A090066 A090067 A090068 * A090070 A090071 A090072

Keyword

nonn,base

Author

Klaus Brockhaus, Nov 20 2003

Status

approved