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A090064
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Numbers n such that there are (presumably) three palindromes in the Reverse and Add! trajectory of n.
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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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.
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LINKS
| Index entries for sequences related to Reverse and Add!
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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.
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CROSSREFS
| Cf. A023108, A023109, A065001, A070742, A077594.
Sequence in context: A036763 A186129 A151741 * A082804 A144777 A109911
Adjacent sequences: A090061 A090062 A090063 * A090065 A090066 A090067
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KEYWORD
| nonn,base
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AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Nov 20 2003
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