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Search: id:A071687
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| A071687 |
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Non-palindromic numbers such that either x=q1.Rev[x] or Rev[x]=q2.x, where R[x]=A004086[x] and q1 or q2 are integers not divisible by 10. |
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+0
2
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| 510, 540, 810, 1089, 2100, 2178, 4200, 5200, 5610, 5700, 5940, 6300, 8400, 8712, 8910, 9801, 10989, 21978, 23100, 27000, 46200, 51510, 52200, 52800, 54540, 56610, 57200, 59940, 65340, 69300, 81810, 87912, 89910, 98901, 109989, 212100, 217800
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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q=Max[n/Rev[n], Rev[n]/n]=10m+r integer, where r>0, q>1.
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EXAMPLE
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Includes special cases of A071685. Examples represented by {n, Rev[n], integer-quotient} triples: {1089, 9801, 9}, {87912, 21979, 4}, {5610, 165, 34}, {610000, 16, 38125}, etc.
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MATHEMATICA
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nd[x_, y_] := 10*x+y tn[x_] := Fold[nd, 0, x] ed[x_] := IntegerDigits[x] red[x_] := Reverse[ed[x]] Do[s=Mod[ma=Max[{n, tn[red[n]]}], mi=Min[{n, r=tn[red[n]]}]]; If[Equal[s, 0]&&!Equal[n, r] &&!Equal[Mod[ma/mi, 10], 0], Print[{n, r, Max[r/n, n/r]}]], {n, 1, 1000000}]
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CROSSREFS
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Cf. A071685, A004046, A055483, A069554.
Sequence in context: A126582 A062905 A062914 this_sequence A048254 A027494 A145588
Adjacent sequences: A071684 A071685 A071686 this_sequence A071688 A071689 A071690
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KEYWORD
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base,nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Jun 03 2002
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