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Search: id:A072398
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| A072398 |
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Numerator of best approximation to Pi with denominator <= 10^n. |
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+0
4
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| 3, 22, 22, 355, 355, 312689, 1146408, 5419351, 245850922, 2549491779, 21053343141, 21053343141, 1783366216531, 8958937768937, 139755218526789, 428224593349304, 30246273033735921, 66627445592888887
(list; graph; listen)
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OFFSET
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0,1
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EXAMPLE
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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%.
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PROGRAM
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(PARI) for(n=0, 40, print1(numerator(bestappr(Pi, 10^n)), ", ")) (Finds these approximations very quickly.)
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CROSSREFS
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Cf. A072399 (denominators), A000796 (Pi), A068089, A002485/A002486.
Sequence in context: A122495 A100977 A037101 this_sequence A134924 A042547 A079039
Adjacent sequences: A072395 A072396 A072397 this_sequence A072399 A072400 A072401
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KEYWORD
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easy,frac,nice,nonn
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AUTHOR
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Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jun 15 2002
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