0,2

Decimal expansion is given by A093054. The partial quotients of the continued fraction expansion of 2^m*x include many similar terms. For example, the continued fraction of 2*x is given by: [2;1,10,5,1,1,11,92,46,1,1,92,1,1,185,1,1,372,2980,1490,11920,5960,1,1,11921,95372,47686,1,1,95372,1,1,...].

x=[1;2,5,11,23,46,93,186,372,745,1490,2980,5960,11921,23843,...].

x=1.455281692832971051393034444524589699271213777825554774132070945742167...

{L=500; x=sqrt(2); for(i=1, 10, cf=vector(L, n, floor(x*2^(n-1))); cm=contfracpnqn(cf); x=cm[1, 1]/cm[2, 1])}

Cf. A093054.

Sequence in context: A140992 A248646 A383472 * A192580 A075712 A349411

Adjacent sequences: A093050 A093051 A093052 * A093054 A093055 A093056

cofr,nonn

Paul D. Hanna, Mar 16 2004

approved