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A100082
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First occurrence of n in the fractional part of the cube root of 2, starting with n=0.
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0
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7, 6, 1, 15, 8, 2, 17, 14, 10, 3, 6, 61, 62, 74, 42, 48, 16, 392, 193, 57, 346, 5, 31, 461, 90, 1, 148, 28, 32, 67, 145, 15, 328, 621, 267, 34, 92, 81, 232, 75, 126, 99, 147, 91, 268, 139, 43, 18, 12, 8, 35, 41, 66, 255, 101, 65, 88, 37, 207, 2, 25, 112, 89, 266, 17, 72, 115
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OFFSET
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0,1
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LINKS
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EXAMPLE
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The fractional part of 2^(1/3) begins 259921049894873164767210607278... so the first occurrence of 0 is at position 7; the first occurrence of 1 is at position 6; etc.
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MATHEMATICA
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Join[{7}, With[{cr2=Rest[RealDigits[2^(1/3), 10, 1000][[1]]]}, Flatten[ Table[Position[ Partition[cr2, IntegerLength[n], 1], IntegerDigits[n], 1, 1], {n, 70}]]]] (* Harvey P. Dale, Nov 28 2012 *)
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CROSSREFS
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Cf. A002580 for digits of the cube root of 2.
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KEYWORD
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base,easy,nonn
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AUTHOR
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Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 04 2004
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STATUS
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approved
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