|
Search: id:A116937
|
|
|
| A116937 |
|
Expansion of Pi^2 in base 2. |
|
+0
1
|
|
| 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1
(list; cons; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
One expects Pi^2 to be equidistributed, base 2, with an equal asymptotic density of 0 and 1 in this sequence; equal density of 00, 01, 10, 11. The first 100 decimal places here have, as binary, a run of 7 zeros and a run of 9 ones.
|
|
FORMULA
|
pi^2 (base 2).
|
|
EXAMPLE
|
1001.1101111 (base 2) ~ 9.8696 (base 10) ~ pi^2. 100 decimal places precision here.
See also: A000796 Decimal expansion of Pi.
See also: A004601 Expansion of Pi in base 2.
|
|
MATHEMATICA
|
RealDigits[Pi^2, 2, 100] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Mar 30 2006
|
|
CROSSREFS
|
Cf. A000796. Pi in various bases: A004601 to A004608, A000796, A068436 to A068440, A062964. Cf. A007514.
Sequence in context: A004609 A071001 A072792 this_sequence A030300 A072770 A071674
Adjacent sequences: A116934 A116935 A116936 this_sequence A116938 A116939 A116940
|
|
KEYWORD
|
base,cons,nonn
|
|
AUTHOR
|
Jonathan Vos Post (jvospost2(AT)yahoo.com), Mar 21 2006
|
|
|
Search completed in 0.002 seconds
|
