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A094964
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A continued fraction transformation of Pi.
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1
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3, 8, 2, 8, 6, 5, 6, 1, 6, 2, 0, 5, 1, 1, 7, 6, 3, 4, 9, 2, 1, 6, 8, 0, 7, 8, 5, 8, 1, 2, 3, 2, 7, 1, 5, 3, 8, 3, 4, 1, 3, 8, 0, 6, 0, 0, 7, 6, 7, 2, 4, 7, 4, 6, 7, 8, 8, 4, 6, 4, 8, 6, 7, 7, 0, 9, 9, 4, 9, 4, 2, 0, 3, 6, 6, 3, 5, 2, 0, 7, 5, 2, 6, 0, 3, 7, 1, 1, 5, 0, 4, 1, 8, 0, 7, 0, 0, 9, 2, 7, 6, 8, 0, 0, 4
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The number, C, has the continued fraction which is the decimal expansion of Pi.
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EXAMPLE
| C = 3.828656162...
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MAPLE
| RealDigits[ FromContinuedFraction[ RealDigits[Pi, 10, 125][[1]]], 10, 111][[1]]
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PROG
| (PARI) extractDigits(x, {basis=10}) = { local(d); d=[floor(x)]; x = basis*(x - floor(x)); for (i=1, ceil(precision(x)*log(10)/log(basis))+5, d = concat(d, floor(x)); x = basis*(x - floor(x)); ); return(d); } continuedFraction(digits) = { local(rtn, n, first); rtn = 0; for (i=0, #digits-1, n = digits[ #digits - i]; if (n, first = i; rtn = n; break; ); ); for (i=first+1, #digits-1, rtn = digits[ #digits - i] + 1/rtn; ); return(rtn); } \p 1000 continuedFraction(extractDigits(Pi, 10))+0. [From Olivier Favre (of.olivier.favre(AT)gmail.com), Mar 01 2010]
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CROSSREFS
| Cf. A000796.
Sequence in context: A132019 A086178 A016669 * A197144 A138714 A038755
Adjacent sequences: A094961 A094962 A094963 * A094965 A094966 A094967
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KEYWORD
| cons,easy,nonn
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), May 26 2004
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EXTENSIONS
| Added PARI/GP code [From Olivier Favre (of.olivier.favre(AT)gmail.com), Mar 01 2010]
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