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A375820
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Decimal expansion of 333/106.
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1
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3, 1, 4, 1, 5, 0, 9, 4, 3, 3, 9, 6, 2, 2, 6, 4, 1, 5, 0, 9, 4, 3, 3, 9, 6, 2, 2, 6, 4, 1, 5, 0, 9, 4, 3, 3, 9, 6, 2, 2, 6, 4, 1, 5, 0, 9, 4, 3, 3, 9, 6, 2, 2, 6, 4, 1, 5, 0, 9, 4, 3, 3, 9, 6, 2, 2, 6, 4, 1, 5, 0, 9, 4, 3, 3, 9, 6, 2, 2, 6, 4, 1, 5, 0, 9, 4, 3, 3, 9, 6, 2, 2, 6, 4, 1, 5, 0, 9, 4, 3
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OFFSET
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1,1
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COMMENTS
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Approximation of Pi accurate up to five digits.
Periodic of period [4, 1, 5, 0, 9, 4, 3, 3, 9, 6, 2, 2, 6] of length 13.
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REFERENCES
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David Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, Revised edition 1987. See p. 49.
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,0,1).
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FORMULA
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Equals (2*355 - 377)/(2*113 - 120), where A068079 = 355/113 and A210622 = 377/120 [Adriaen Metius]. See Wells.
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EXAMPLE
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3.1415094339622641509433962264150943396226415...
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MATHEMATICA
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RealDigits[333/106, 10, 100][[1]]
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PROG
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(Python)
def A375820(n): return (2, 2 , 6, 4, 1, 5, 0, 9, 4, 3, 3, 9, 6)[n%13] if n>2 else 5-(n<<1) # Chai Wah Wu, Aug 30 2024
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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