A006941 Expansion of Pi in base 8. (Formerly M2208)

3, 1, 1, 0, 3, 7, 5, 5, 2, 4, 2, 1, 0, 2, 6, 4, 3, 0, 2, 1, 5, 1, 4, 2, 3, 0, 6, 3, 0, 5, 0, 5, 6, 0, 0, 6, 7, 0, 1, 6, 3, 2, 1, 1, 2, 2, 0, 1, 1, 1, 6, 0, 2, 1, 0, 5, 1, 4, 7, 6, 3, 0, 7, 2, 0, 0, 2, 0, 2, 7, 3, 7, 2, 4, 6, 1, 6, 6, 1, 1, 6, 3, 3, 1, 0, 4, 5, 0, 5, 1, 2, 0, 2, 0, 7, 4, 6, 1, 6, 1, 5, 0, 0, 2, 3

Offset

1,1

References

D. E. Knuth, The Art of Computer Programming. Addison-Wesley, Reading, MA, Vol. 1, p. 614.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Index entries for sequences related to the number Pi

Formula

a(n) = 4*A004601(3n) + 2*A004601(3n+1) + 1*A004601(3n+2). - Jason Kimberley, Nov 06 2012

Example

3.1103755242102643021514230630505600670...

Maple

convert(evalf(Pi), octal, 120);  # Alois P. Heinz, Dec 16 2018

Mathematica

RealDigits[ N[ Pi, 105], 8] [[1]]
Table[ResourceFunction["NthDigit"][Pi, n, 8], {n, 1, 105}] (* Joan Ludevid, Sep 13 2022; easy to compute a(10000000)=1 with this function; requires Mathematica 12.0+ *)

Crossrefs

Pi in base b: A004601 (b=2), A004602 (b=3), A004603 (b=4), A004604 (b=5), A004605 (b=6), A004606 (b=7), this sequence (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).

Cf. A007514.

Sequence in context: A196057 A058395 A035694 * A337525 A076277 A130115

Adjacent sequences: A006938 A006939 A006940 * A006942 A006943 A006944

Keyword

nonn,base,cons,easy

Author

N. J. A. Sloane

Extensions

More terms from Michel ten Voorde, Apr 14 2001

Status

approved