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A164924 Denominators of Egyptian fraction for Pi/4 whose partial sums are the convergents 0

%I #2 Mar 30 2012 17:23:26

%S 1,-4,20,-45,126,-3066,98988,-14808876,1088223045,-11017349070,

%T 121040912274,-2384786370947,45093873748908,-140317516983756,

%U 553849385827045,-4262743007968170,28759236845787534,-62522995423971463

%N Denominators of Egyptian fraction for Pi/4 whose partial sums are the convergents

%C 1-1/4+1/20-1/45+1/126 = (22/7)/4

%C 1-1/4+1/20-1/45+1/126-1/3066+1/98988 = (355/113)/4

%o (PARI) c0=0; for (k=2, 30, m=contfracpnqn(contfrac(Pi/4, k)); c1=m[1, 1]/m[2, 1]; print1(1/(c1-c0), ", "); c0=c1; )

%Y Cf. A156618.

%K frac,sign

%O 0,2

%A _Jaume Oliver Lafont_, Aug 31 2009

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Last modified June 1 05:42 EDT 2024. Contains 373010 sequences. (Running on oeis4.)