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A116993
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a(n) is the least number having exactly n representations as a product of two palindromes.
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2
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13, 1, 4, 44, 66, 484, 4444, 7326, 6666, 48884, 73326, 493284, 888888, 666666, 5426124, 4888884, 6672666, 7333326, 44888844, 73399326, 246888642, 67333266, 4073662593, 4893772884, 4533773244, 6800659866, 2715775062, 1481331852
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OFFSET
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0,1
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COMMENTS
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a(20) <= 733333326; a(34) <= 666666666666; a(39) <= 4888888888884 and a(44) <= 7333333333326. - Farideh Firoozbakht, Dec 10 2006
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LINKS
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EXAMPLE
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a(0)=13 since 13 is the smallest number that cannot be represented as a product of two palindromes. a(5)=484 since 484= 1*484 = 2*242 = 4*121 = 22*22 = 11*44.
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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/#&]]; a[n_]:=(For[m=1, f[m] != n, m++ ]; m); Do[Print[a[n]], {n, 0, 18}] - Farideh Firoozbakht, Dec 10 2006
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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