A125600 Continued fraction expansion of constant defined in A124091.

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, 536870655, 1, 2, 1, 15, 1, 3, 3, 1, 1, 1, 2, 140737488347135, 1, 1, 1, 1, 1, 127, 1, 7, 7, 1, 5, 2, 2, 75557863725914321321983, 1, 1, 2, 5, 1, 2047, 2, 2, 5, 1, 31, 6, 1, 1, 3, 2, 2

Offset

0,1

Comments

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

Links

Table of n, a(n) for n=0..68.

Mathematica

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

Crossrefs

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

Sequence in context: A122765 A131053 A219281 * A084053 A331553 A182663

Adjacent sequences: A125597 A125598 A125599 * A125601 A125602 A125603

Keyword

cofr,nonn

Author

Robert G. Wilson v, Nov 26 2006

Extensions

Offset changed by Andrew Howroyd, Aug 03 2024

Status

approved