|
Search: id:A072398
|
|
|
| A072398 |
|
Numerator of best approximation to Pi with denominator <= 10^n. |
|
+0
4
|
|
| 3, 22, 22, 355, 355, 312689, 1146408, 5419351, 245850922, 2549491779, 21053343141, 21053343141, 1783366216531, 8958937768937, 139755218526789, 428224593349304, 30246273033735921, 66627445592888887
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
EXAMPLE
|
A072398(5) = 312689 because A072398(5)/A072399(5) = 312689/99532 is the best rational approximation to Pi with positive denominator <= 10^5 = 100000. This approximation is accurate to 0.00000000092766%.
|
|
PROGRAM
|
(PARI) for(n=0, 40, print1(numerator(bestappr(Pi, 10^n)), ", ")) (Finds these approximations very quickly.)
|
|
CROSSREFS
|
Cf. A072399 (denominators), A000796 (Pi), A068089, A002485/A002486.
Sequence in context: A122495 A100977 A037101 this_sequence A134924 A154317 A042547
Adjacent sequences: A072395 A072396 A072397 this_sequence A072399 A072400 A072401
|
|
KEYWORD
|
easy,frac,nice,nonn
|
|
AUTHOR
|
Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jun 15 2002
|
|
|
Search completed in 0.002 seconds
|
