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A156618
Denominators of Egyptian fraction for Pi-3 whose partial sums are the convergents
3
7, -742, 11978, -3740526, 1099482930, -2202719155, 6600663644, -26413901692, 96840976853, -496325469560, 2346251883960, -44006595799206, 1345586183756654, -4127747481719463, 10251870941174304
OFFSET
0,1
COMMENTS
Numerators are all 1.
EXAMPLE
3+1/a(0)=22/7
3+1/a(0)+1/a(1)=333/106
3+1/a(0)+1/a(1)+1/a(2)=355/113
PROG
(PARI) c0=3; for (k=2, 30, m=contfracpnqn(contfrac(Pi, k)); c1=m[1, 1]/m[2, 1]; print1(1/(c1-c0), ", "); c0=c1; )
CROSSREFS
KEYWORD
sign
AUTHOR
Jaume Oliver Lafont, Feb 11 2009
STATUS
approved