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A072399
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Denominator of best approximation to Pi with denominator <= 10^n.
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4
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1, 7, 7, 113, 113, 99532, 364913, 1725033, 78256779, 811528438, 6701487259, 6701487259, 567663097408, 2851718461558, 44485467702853, 136308121570117, 9627687726852338, 21208174623389167, 842468587426513207
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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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%.
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PROG
| (PARI) for(n=0, 40, print1(denominator(bestappr(Pi, 10^n)), ", ")) (Finds these approximations very quickly.)
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CROSSREFS
| Cf. A072398 (numerators), A000796 (Pi), A068089, A002485/A002486.
Sequence in context: A009201 A065240 A178708 * A001988 A099739 A048430
Adjacent sequences: A072396 A072397 A072398 * A072400 A072401 A072402
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KEYWORD
| easy,frac,nice,nonn
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AUTHOR
| Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jun 15 2002
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