A004602 Expansion of Pi in base 3.

1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1

Offset

2,6

Links

G. C. Greubel, Table of n, a(n) for n = 2..10000

Steve Pagliarulo, Stu's pi page: base 3 (23 pages).

Formula

a(n) = floor(Pi*3^(n-3)) - 3*floor(Pi*3^(n-4)), n>1. - G. C. Greubel, Mar 09 2018

Example

10.0102110122220102110021111102212222201...

Mathematica

RealDigits[ N[ Pi, 105], 3] [[1]]
RealDigits[Pi, 3, 120][[1]] (* Harvey P. Dale, Jul 02 2021 *)
Table[ResourceFunction["NthDigit"][Pi, n, 3], {n, 1, 100}] (* Joan Ludevid, Jun 24 2022; easy to compute a(10000000)=1 with this function; requires Mathematica 12.0+ *)

Crossrefs

Pi in base b: A004601 (b=2), this sequence (b=3), A004603 (b=4), A004604 (b=5), A004605 (b=6), A004606 (b=7), A006941 (b=8), A004608 (b=9), A000796 (b=10), A068436 (b=11), A068437 (b=12), A068438 (b=13), A068439 (b=14), A068440 (b=15), A062964 (b=16), A060707 (b=60), A331313 (Pi in balanced ternary).

Cf. A007514.

Sequence in context: A214341 A281871 A131334 * A247418 A229899 A153764

Adjacent sequences: A004599 A004600 A004601 * A004603 A004604 A004605

Keyword

nonn,base,cons,easy

Author

N. J. A. Sloane

Status

approved