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A187765
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The (n-1)th decimal place of the fractional part of the square root of n.
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0
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0, 4, 3, 0, 0, 8, 1, 1, 0, 0, 3, 3, 3, 9, 1, 0, 5, 4, 2, 8, 8, 5, 4, 6, 0, 1, 2, 7, 5, 0, 8, 7, 2, 3, 0, 0, 2, 2, 7, 9, 4, 0, 6, 0, 7, 3, 0, 4, 0, 7, 3, 2, 4, 8, 8, 6, 9, 0, 7, 4, 3, 5, 7, 0, 2, 3, 3, 9, 8, 7, 5, 7, 9, 6, 4, 6, 3, 4, 9, 5, 0, 3, 5, 0, 7, 0, 2
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OFFSET
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1,2
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COMMENTS
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If n=1 then the term is the first digit before the decimal point. If the square root of n is a whole number then the term is 0.
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LINKS
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EXAMPLE
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If n=2, sqrt(2)=1.41421356 approx., the 1st(2-1) decimal place of which is 4 so the 2nd term is 4. If n=3, sqrt(3)=1.73205081 approx., the 2nd(3-1) decimal place of which is 3 so the 3rd term is 3.
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MATHEMATICA
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Join[{0}, Table[RealDigits[Sqrt[n] - Floor[Sqrt[n]], 10, n, -1][[1, -2]], {n, 2, 87}]]
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PROG
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(Python)
for n in range(1, 16):
x=str(n**0.5)
for i in range(n):
x=x+"0"
if n==1:
r=str(x[-1])
else:
r=r+", "+str(x[n])
if n==15:
print(r)
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CROSSREFS
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Cf. A003076 (n-th digit after decimal point of square root of n).
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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