|
Search: id:A072399
|
|
|
| A072399 |
|
Denominator of best approximation to Pi with denominator <= 10^n. |
|
+0
4
|
|
| 1, 7, 7, 113, 113, 99532, 364913, 1725033, 78256779, 811528438, 6701487259, 6701487259, 567663097408, 2851718461558, 44485467702853, 136308121570117, 9627687726852338, 21208174623389167, 842468587426513207
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
EXAMPLE
|
A072399(6) = 364913 because A072398(6)/A072399(6) = 1146408/364913 is the best rational approximation to Pi with positive denominator <= 10^6 = 1000000. This approximation is accurate to 0.000000000051271%.
|
|
PROGRAM
|
(PARI) for(n=0, 40, print1(denominator(bestappr(Pi, 10^n)), ", ")) (Finds these approximations very quickly.)
|
|
CROSSREFS
|
Cf. A072398 (numerators), A000796 (Pi), A068089, A002485/A002486.
Sequence in context: A117860 A009201 A065240 this_sequence A001988 A099739 A048430
Adjacent sequences: A072396 A072397 A072398 this_sequence A072400 A072401 A072402
|
|
KEYWORD
|
easy,frac,nice,nonn
|
|
AUTHOR
|
Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jun 15 2002
|
|
|
Search completed in 0.002 seconds
|
