

A161732


Fixed points of the TITO operation (A161594) that are also composite palindromes.


1



4, 6, 8, 9, 22, 33, 44, 55, 66, 77, 88, 99, 121, 202, 242, 252, 262, 303, 343, 363, 393, 404, 484, 505, 525, 606, 616, 626, 686, 707, 808, 909, 939, 1111, 1331, 1441, 1661, 1991, 2112, 2222, 2662, 2772, 2882, 3333, 3443, 3773, 3883, 3993, 4224, 4444, 5445
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OFFSET

1,1


COMMENTS

This sequence is a proper superset of A046351 (palindromic composite numbers with only palindromic prime factors). The smallest number that doesn't belong to A046351 is 72927. The numbers that are in this sequence and are not in A046351 are given in A161730.


LINKS

Table of n, a(n) for n=1..51.
T. Khovanova, Turning Numbers Inside Out [From Tanya Khovanova, Jul 07 2009]


MATHEMATICA

reversepower[{n_, k_}] := FromDigits[Reverse[IntegerDigits[n]]]^k f[n_] := FromDigits[ Reverse[IntegerDigits[Times @@ Map[reversepower, FactorInteger[n]]]]] rev[n_] := FromDigits[Reverse[IntegerDigits[n]]] Select[Range[10000], f[ # ] == # && rev[ # ] == # && ! PrimeQ[ # ] &]


CROSSREFS

Cf. A161594, A161597, A161598, A161600, A046351
Sequence in context: A032350 A078337 A046351 * A066307 A287198 A099071
Adjacent sequences: A161729 A161730 A161731 * A161733 A161734 A161735


KEYWORD

base,nonn


AUTHOR

Tanya Khovanova, Jun 17 2009


EXTENSIONS

Edited by N. J. A. Sloane, Jun 23 2009


STATUS

approved



