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A001191
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Digits of positive squares.
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16
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1, 4, 9, 1, 6, 2, 5, 3, 6, 4, 9, 6, 4, 8, 1, 1, 0, 0, 1, 2, 1, 1, 4, 4, 1, 6, 9, 1, 9, 6, 2, 2, 5, 2, 5, 6, 2, 8, 9, 3, 2, 4, 3, 6, 1, 4, 0, 0, 4, 4, 1, 4, 8, 4, 5, 2, 9, 5, 7, 6, 6, 2, 5, 6, 7, 6, 7, 2, 9, 7, 8, 4, 8, 4, 1, 9, 0, 0
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OFFSET
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1,2
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COMMENTS
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Besicovitch shows that 0.149162536..., this sequence interpreted as a constant, is 10-normal. - Charles R Greathouse IV, Oct 04 2008
The continued fraction of this sequence interpreted as a constant (0.149162536...) displays behavior similar to that of Champernowne's constant, with huge coefficients becoming unbounded: the 47th coefficient has 39 digits, the 103rd coefficient has 178 digits, the 289th coefficient is greater than 10^712, etc. - John M. Campbell, Jun 25 2011
Position of record terms of the continued fraction: 1, 2, 14, 18, 47, 103, 289, 831, 2215, 5801, 14167, 33339, 76595, 174815, 391749, ..., ; Digital length of the record terms: 1, 1, 1, 2, 39, 178, 712, 2637, 9577, 33986, 119198, 413749, 1424714, 4872958, 16572040, ..., . - Robert G. Wilson v, Jul 04 2011
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REFERENCES
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G. Harman, One hundred years of normal numbers, in M. A. Bennett et al., eds., Number Theory for the Millennium, II (Urbana, IL, 2000), 149-166, A K Peters, Natick, MA, 2002.
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LINKS
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MATHEMATICA
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mx = 30; k = 1; s = 0; While[k < mx+1, s = s (10^IntegerLength[k^2]) + k^2; k++]; IntegerDigits@ s (* Robert G. Wilson v, Jul 04 2011 *)
Flatten[IntegerDigits/@(Range[30]^2)] (* Harvey P. Dale, Aug 14 2014 *)
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CROSSREFS
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KEYWORD
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nonn,base,easy
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AUTHOR
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Charlie Peck (peck(AT)Alice.Wonderland.Caltech.EDU)
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STATUS
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approved
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