A065828 - OEIS

A065828

Binary digits found in decimal expansion of Pi.

1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1

(list; graph; refs; listen; history; text; internal format)

OFFSET

COMMENTS

If Pi is normal then every possible string of 0's and 1's will appear in this sequence. - Joshua Oliver, Nov 27 2019

LINKS

Jinyuan Wang, Table of n, a(n) for n = 1..10000 (terms 1..7641 from Felix Fröhlich)

EXAMPLE

From Felix Fröhlich, Nov 27 2019: (Start)

The first of the following lines shows the decimal expansion of Pi and the second the expansion with all digits except 0 and 1 omitted, thus giving the terms of the sequence:

3.1415926535897932384626433832795028841971693993751058209749445923078164062

1 1 0 1 1 10 0 0 1 0

(End)

MATHEMATICA

Select[ RealDigits[Pi, 10, 520][[1]], # < 2 &] (* Robert G. Wilson v, May 04 2009 *)

PROG

(PARI) my(d=digits(floor(Pi*10^400))); for(k=1, #d, if(d[k] < 2, print1(d[k], ", "))) \\ Felix Fröhlich, Nov 27 2019

CROSSREFS

Cf. A000796, A011545, A011546, A055143, A065829-A065840.

Sequence in context: A374039 A014114 A014219 * A341603 A190897 A176329

Adjacent sequences: A065825 A065826 A065827 * A065829 A065830 A065831

KEYWORD

nonn,base

AUTHOR

Patrick De Geest, Nov 24 2001

EXTENSIONS

Offset changed to 1 by Jinyuan Wang, Aug 31 2021

STATUS

approved