A090066 Numbers n such that there are (presumably) five palindromes in the Reverse and Add! trajectory of n.

14, 15, 23, 24, 32, 41, 42, 50, 51, 55, 60, 66, 79, 97, 105, 106, 107, 119, 120, 123, 129, 130, 131, 140, 141, 152, 159, 161, 171, 176, 179, 181, 184, 185, 199, 204, 205, 206, 218, 228, 251, 258, 269, 275, 278, 283, 284, 290, 298, 304, 305, 317, 319, 321, 327

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 106 begins 106, 707, 1414, 5555, 11110, 12221, 24442, 48884, 97768, ...; at 97768 it joins the (presumably) palindrome-free trajectory of A063048(3) = 1997, hence 707, 5555, 12221, 24442 and 48884 are the five palindromes in the trajectory of 106 and 106 is a term.

Crossrefs

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

Sequence in context: A047821 A195238 A085816 * A084429 A207036 A087430

Adjacent sequences: A090063 A090064 A090065 * A090067 A090068 A090069

Keyword

nonn,base

Author

Klaus Brockhaus, Nov 20 2003

Status

approved