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%I #5 Mar 30 2012 18:39:04
%S -6,22,47,3,97,61,7,43,197,37,19,17,33,23,347,1,397,211,149,59,71,1,
%T 547,11,199,311,647,1,17,361,1,193,797,137,121,109,23,461,947,9,997,
%U 73,349,67,1097,17,37,293,19,47,43,1,1297,661,449,49,1,1,1447,23,499,761,17,1,1597,811,61,209,1697,1,1747,443,599
%N Numerator of b(n) = (50*n-6)/C(3n,n)/2^n.
%C A powerful series to compute Pi via the Beta method. Proved first by Almkvist, Krattenthaler, Petersson (2001).
%F sum ( k>=0, b(k)) = Pi
%o (PARI) a(n)=numerator((50*n-6)/binomial(3*n,n)/2^n)
%Y Cf. A072973.
%K easy,frac,sign
%O 0,1
%A _Benoit Cloitre_, Aug 13 2002
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