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Search: id:A125832
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A125832 Numbers n which have exactly 14 representations as a product of two palindromes. +0
3
5426124, 8139186, 20017998, 21999978, 26690664, 26888862, 29333304, 49821684 (list; graph; listen)
OFFSET

1,1

EXAMPLE

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.

MATHEMATICA

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}]

CROSSREFS

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

KEYWORD

base,nonn

AUTHOR

Farideh Firoozbakht (mymontain(AT)yahoo.com), Dec 10 2006

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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