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Decimal expansion of the square of the constant (A100338) which has the continued fraction expansion equal to A006519 (highest power of 2 dividing n).
4

%I #3 Mar 30 2012 18:36:44

%S 1,8,3,2,9,6,7,0,3,2,3,9,6,0,0,3,0,5,4,4,2,7,2,1,9,5,4,4,2,1,0,4,1,7,

%T 3,2,4,0,5,7,7,1,6,5,6,3,2,2,7,2,1,6,8,9,7,7,9,8,3,8,9,7,7,8,5,5,7,1,

%U 8,7,9,9,0,0,7,9,0,4,7,9,4,0,3,0,8,2,8,7,8,8,7,7,0,2,8,0,8,9,4,6,7,9,6,5,4

%N Decimal expansion of the square of the constant (A100338) which has the continued fraction expansion equal to A006519 (highest power of 2 dividing n).

%C The continued fraction of this constant (A100864) has large partial quotients (A100865) that appear to be doubly exponential.

%e 1.83296703239600305442721954421041732405771656322721689779838977855718799...

%o (PARI) {CFM=contfracpnqn(vector(1500,n,2^valuation(n,2))); x=(CFM[1,1]/CFM[2,1])^2*1.0}

%Y Cf. A006519, A100338, A100864, A100865.

%K cons,nonn

%O 1,2

%A _Paul D. Hanna_, Nov 20 2004