A090067 - OEIS

A090067

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

7, 12, 17, 21, 26, 30, 33, 35, 53, 59, 62, 68, 71, 80, 86, 88, 95, 102, 103, 109, 114, 117, 142, 150, 154, 170, 191, 201, 208, 209, 210, 213, 216, 222, 241, 253, 300, 301, 303, 307, 308, 312, 315, 329, 340, 352, 359, 383, 389, 400, 404, 406, 407, 411, 428, 451

(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

Table of n, a(n) for n=1..56.

Index entries for sequences related to Reverse and Add!

EXAMPLE

The trajectory of 154 begins 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 525, 1551, 5115, 13431, 26862 and 12455421 are the six palindromes in the trajectory of 154 and 154 is a term.

CROSSREFS

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

Sequence in context: A063303 A091215 A261410 * A072354 A091576 A364095

Adjacent sequences: A090064 A090065 A090066 * A090068 A090069 A090070

KEYWORD

nonn,base

AUTHOR

Klaus Brockhaus, Nov 20 2003

STATUS

approved