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A068028
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Decimal expansion of 22/7.
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2
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3, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| This is an approximation to Pi. It is accurate to 0.04025%.
Consider the recurring part of 22/7 and the sequences R(i)=2, 1, 4, 2, 3, 0, 2, . . . and Q(i)=1, 4, 2, 8, 5, 7, 1, . . . . For i > 0, let X(i)=10*R(i)+Q(i). Then Q(i+1)=floor[X(i)/Y]; R(i+1)=X(i)-Y*Q(i+1); here Y=5; X(0)=X=7. Note 1/7=7/49=X/(10*Y-1). Similar comment holds elsewhere. If we consider the sequences R(i)=3,2,3,5,5,1,4,0,6,4,6,3,4,3,1,1,5,2,6,0,2,0,3, . . . and Q(i)=A021027, we have X=3;Y=7 (attributed to Vedic literature). [From Kailasam Viswanathan Iyer (kvi(AT)nitt.edu), Jun 16 2010, Jun 18 2010]
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LINKS
| Index entries for sequences related to the number Pi
Dale, Facts about Pi [broken link]
Dale, Pi Facts [cached copy]
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FORMULA
| a[0]=3, a[n]=floor(714285/10^(5-(n mod 6)) - Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Mar 23 2002.
Equals 100*A021018-4 = 3+A020806. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 30 2008]
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CROSSREFS
| Cf. A068079, A068089, A002485, A002486, A046965, A046947.
Sequence in context: A115208 A115659 A067060 * A163359 A065256 A016573
Adjacent sequences: A068025 A068026 A068027 * A068029 A068030 A068031
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KEYWORD
| easy,nonn,cons
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AUTHOR
| Nenad Radakovic (nenadradakovic(AT)yahoo.com), Mar 22 2002.
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EXTENSIONS
| More terms from Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Mar 23 2002.
Added alternative to broken link - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 18 2010
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