A375820 Decimal expansion of 333/106.

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

Offset

1,1

Comments

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.

References

David Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, Revised edition 1987. See p. 49.

Links

Table of n, a(n) for n=1..100.

Wikipedia, Adriaan Metius.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,0,1).

Formula

Equals (2*355 - 377)/(2*113 - 120), where A068079 = 355/113 and A210622 = 377/120 [Adriaen Metius]. See Wells.

Example

3.1415094339622641509433962264150943396226415...

Mathematica

RealDigits[333/106, 10, 100][[1]]

Prog

(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

Crossrefs

Cf. A000796, A068079, A210622.

Sequence in context: A035687 A324542 A349042 * A302792 A179820 A364098

Adjacent sequences: A375815 A375816 A375817 * A375824 A375825 A375826

Keyword

nonn,cons,easy,new

Author

Stefano Spezia, Aug 30 2024

Status

approved