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

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%I A164924 #4 Jul 22 2025 07:18:52
%S A164924 1,-4,20,-45,126,-3066,98988,-14808876,1088223045,-11017349070,
%T A164924 121040912274,-2384786370947,45093873748908,-140317516983756,
%U A164924 553849385827045,-4262743007968170,28759236845787534,-62522995423971463
%N A164924 Denominators of Egyptian fraction for Pi/4 whose partial sums are the convergents.
%C A164924 1-1/4+1/20-1/45+1/126 = (22/7)/4
%C A164924 1-1/4+1/20-1/45+1/126-1/3066+1/98988 = (355/113)/4
%o A164924 (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 A164924 Cf. A156618.
%K A164924 frac,sign
%O A164924 0,2
%A A164924 _Jaume Oliver Lafont_, Aug 31 2009