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A072973 Denominator of b(n) = (50*n-6)/C(3n,n)/2^n. 1

%I #5 Mar 30 2012 18:39:04

%S 1,3,30,14,3960,24024,28288,1860480,94140288,199971200,1183311360,

%T 12386350080,284826214400,2376389615616,433030996623360,

%U 15188999733248,73886889202384896,484018391833804800,4234776786964971520

%N Denominator 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)=denominator((50*n-6)/binomial(3*n,n)/2^n)

%Y Cf. A072972.

%K easy,frac,nonn

%O 0,2

%A _Benoit Cloitre_, Aug 13 2002

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Last modified October 2 13:50 EDT 2023. Contains 365837 sequences. (Running on oeis4.)