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A011548
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Decimal expansion of sqrt(2) rounded to n places.
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3
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1, 14, 141, 1414, 14142, 141421, 1414214, 14142136, 141421356, 1414213562, 14142135624, 141421356237, 1414213562373, 14142135623731, 141421356237310, 1414213562373095, 14142135623730950, 141421356237309505, 1414213562373095049, 14142135623730950488
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OFFSET
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0,2
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REFERENCES
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W. Rudin, Principles of Mathematical Analysis, 3rd ed., McGraw-Hill, 1976.
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LINKS
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MATHEMATICA
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Module[{nn=20, s}, s=RealDigits[Sqrt[2], 10, nn+1][[1]]; Table[Round[ FromDigits[ Take[ s, n+1]]/10], {n, nn}]] (* Harvey P. Dale, Apr 04 2019 *)
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PROG
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(Python)
from math import isqrt
def A011548(n): return (m:=isqrt(k:=10**(n<<1)<<1))+int((k-m*(m+1)<<2)>=1) # Chai Wah Wu, Jul 29 2022
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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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STATUS
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approved
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