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A202780
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Smallest number whose cube begins and ends with the same n digits, and with any other digit(s) in between.
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0
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7, 108, 335, 6667, 104636, 333335, 4504625, 70585736, 333333335, 1818181815, 33531510511, 333333333335, 198817904169
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OFFSET
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1,1
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LINKS
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EXAMPLE
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335^3 = 37595375 starts and ends with the same 3 digits.
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MATHEMATICA
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lst = {}; Do[n = Ceiling[(10^(2*k))^(1/3)]; While[True, d = IntegerDigits[n^3]; If[Take[d, k] == Take[d, -k], Break[]]; n++]; AppendTo[lst, n], {k, 6}]; lst
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CROSSREFS
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KEYWORD
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base,more,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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