A090064 Numbers n such that there are (presumably) three palindromes in the Reverse and Add! trajectory of n.

18, 27, 36, 45, 54, 63, 69, 72, 78, 81, 87, 90, 96, 99, 113, 125, 126, 128, 137, 146, 149, 156, 157, 162, 163, 165, 168, 169, 172, 175, 180, 183, 188, 189, 193, 194, 195, 197, 220, 224, 225, 227, 232, 236, 242, 245, 248, 252, 255, 256, 259, 261, 264, 267, 268

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

Table of n, a(n) for n=1..55.

Index entries for sequences related to Reverse and Add!

Example

The trajectory of 113 begins 113, 424, 848, 1696, 8657, 16225, 68486, 136972, 416603, ...; at 416603 it joins the (presumably) palindrome-free trajectory of A063048(16) = 10735, hence 424, 848 and 68486 are the three palindromes in the trajectory of 113 and 113 is a term.

Crossrefs

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

Sequence in context: A284672 A265738 A151741 * A082804 A262277 A144777

Adjacent sequences: A090061 A090062 A090063 * A090065 A090066 A090067

Keyword

nonn,base

Author

Klaus Brockhaus, Nov 20 2003

Status

approved