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Search: id:A072227
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| A072227 |
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Numbers n such that reverse(d) divides reverse(n) for all divisors d of n. |
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+0
2
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| 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 17, 19, 22, 23, 26, 27, 29, 31, 33, 37, 39, 41, 43, 44, 46, 47, 53, 55, 59, 61, 62, 66, 67, 69, 71, 73, 77, 79, 82, 83, 86, 88, 89, 93, 97, 99, 101, 103, 107, 109, 113, 121, 127, 131, 137, 139, 143, 149, 151, 157, 163, 167, 169, 173
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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The divisors of 187 are 1, 11, 17, 187, with reverses 1, 11, 71, 781 which all divide 781, the reverse of 187, so 187 is a term of the sequence.
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MATHEMATICA
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rev[n_] := FromDigits[Reverse[IntegerDigits[n]]]; a = {}; Do[d = Map[rev, Divisors[n]]; l = Length[d]; e = rev[n]; r = True; For[i = 1, i <= l, i++, If[ ! IntegerQ[e/d[[i]]], r = False]]; If[r, a = Append[a, n]], {n, 1, 200}]; a
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CROSSREFS
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Sequence in context: A106801 A124868 A165209 this_sequence A122427 A161597 A085429
Adjacent sequences: A072224 A072225 A072226 this_sequence A072228 A072229 A072230
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KEYWORD
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base,easy,nonn
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AUTHOR
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Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Jul 05 2002
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