OFFSET
1,1
COMMENTS
The number, C, has the continued fraction which is the decimal expansion of Pi.
EXAMPLE
C = 3.828656162...
MATHEMATICA
RealDigits[ FromContinuedFraction[ RealDigits[Pi, 10, 125][[1]]], 10, 111][[1]]
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(digs) = { local(rtn, n, first); rtn = 0; for (i=0, #digs-1, n = digs[ #digs - i]; if (n, first = i; rtn = n; break; ); ); for (i=first+1, #digs-1, rtn = digs[ #digs - i] + 1/rtn; ); return(rtn); }
\p 1000
continuedFraction(extractDigits(Pi, 10))+0. \\ Olivier Favre (of.olivier.favre(AT)gmail.com), Mar 01 2010
CROSSREFS
KEYWORD
AUTHOR
Robert G. Wilson v, May 26 2004
STATUS
approved