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Continued fraction expansion of constant defined in A124091.
3

%I #11 Aug 03 2024 11:53:16

%S 2,2,2,3,2,28,1,13,1,2,1,123,1,6,1,2039,2,2,6,262111,1,35,1,1,3,

%T 536870655,1,2,1,15,1,3,3,1,1,1,2,140737488347135,1,1,1,1,1,127,1,7,7,

%U 1,5,2,2,75557863725914321321983,1,1,2,5,1,2047,2,2,5,1,31,6,1,1,3,2,2

%N Continued fraction expansion of constant defined in A124091.

%C Progressively larger PQ's: 2, 3, 28, 123, 2039, 262111, 536870655, 140737488347135, 75557863725914321321983, 10633823966279326983230456465062887423, 803469022129495137770981046170581301261101460862599398686719, 8543948143683640329580086824678208458410818089426611079788166431288878284152542557401710898184191, ...,.

%t c = N[Sum[(1/2)^Fibonacci[i], {i, 0, Infinity}], 1000]; ContinuedFraction@c

%Y Cf. A124091 (decimal expansion), A181313 (essentially the same), A006518.

%K cofr,nonn

%O 0,1

%A _Robert G. Wilson v_, Nov 26 2006

%E Offset changed by _Andrew Howroyd_, Aug 03 2024