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Search: id:A125832
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| A125832 |
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Numbers n which have exactly 14 representations as a product of two palindromes. |
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+0 3
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| 5426124, 8139186, 20017998, 21999978, 26690664, 26888862, 29333304, 49821684
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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26888862 is in the sequence since 26888862 = 1*26888862 = 2*13444431
= 11*2444442 = 22*1222221 = 111*242242 = 121*222222 = 222*121121
= 242*111111 = 1001*26862 = 1221*22022 = 1331*20202 = 2002*13431
= 2442*11011 = 2662*10101.
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MATHEMATICA
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f[n_]:=f[n]=Length[Select[Divisors[n], #<=n^(1/2)&&FromDigits[ Reverse[IntegerDigits[ # ]]]==#&&FromDigits[Reverse[IntegerDigits [n/# ]]]==n/#&]]; Do[If[f[n]==14, Print[n]], {n, 50000000}]
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CROSSREFS
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Cf. A116993, A125833, A125834.
Sequence in context: A022258 A092020 A029822 this_sequence A092019 A061164 A069316
Adjacent sequences: A125829 A125830 A125831 this_sequence A125833 A125834 A125835
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KEYWORD
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base,nonn
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AUTHOR
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Farideh Firoozbakht (mymontain(AT)yahoo.com), Dec 10 2006
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