This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A192219 Numbers m such that set of divisors of m is equal to set of reversals of divisors of m but all divisors of m are not palindromic. 0
 1226221, 13488431, 123848321, 12467976421, 1030507050301, 1120237320211, 1225559555221, 1234469644321, 1334459544331, 11335577553311, 100330272033001, 101222252222101, 103023070320301, 113143969341311, 121363494363121, 134312696213431 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS All terms are palindromic (subsequence of A002113 - palindromic numbers). Subsequence of A188650 (numbers that are divisible by all reversals of their divisors). Union a(n) and A062687 (numbers all of whose divisors are palindromic) is sequence of numbers m such that set of divisors of m is equal to set of reversals of divisors of m: {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 121, 131, ..., 1226221, ...). - Jaroslav Krizek, Jul 18 2011. LINKS EXAMPLE 1226221 has divisors 1, 1021, 1201, 1226221. Set of divisors is equal to set of reversals of divisors. Divisors 1021 and 1201 are not palindromic. MATHEMATICA t = Union[Flatten[Table[d = IntegerDigits[n]; {FromDigits[Join[d, Reverse[d]]], FromDigits[Join[d, Reverse[Most[d]]]]}, {n, 0, 99999}]]]; okQ[n_] := Module[{f = Divisors[n], r}, r = f; Do[r[[i]] = FromDigits[Reverse[IntegerDigits[f[[i]]]]], {i, Length[f]}];  f == Sort[r] && f != r]; Select[t, okQ] (* T. D. Noe, Jul 14 2011 *) CROSSREFS Sequence in context: A257159 A254741 A203259 * A282424 A129347 A071146 Adjacent sequences:  A192216 A192217 A192218 * A192220 A192221 A192222 KEYWORD nonn,base AUTHOR Jaroslav Krizek, Jul 13 2011 EXTENSIONS a(5)-a(16) (including six found by T. D. Noe) from Donovan Johnson, Jul 14 2011 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified April 20 14:27 EDT 2019. Contains 322310 sequences. (Running on oeis4.)