A127558 Decimal expansion of the number 29.000694926917980144237135814... having continued fraction expansion 29, 1439, 4211, 7703, 12907, 14957, ... (A126555).

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

Offset

2,1

Links

Table of n, a(n) for n=2..101.

Mathematica

b = {}; a = {}; Do[If[PrimeQ[((Prime[n + 2] + Prime[n + 1])/2 + (Prime[n + 1] + Prime[n])/2)/2], AppendTo[a, ((Prime[n + 2] + Prime[n + 1])/2 + (Prime[n + 1] + Prime[n])/2)/2]], {n, 1, 100000}]; Do[If[PrimeQ[(a[[k + 1]] + a[[k]])/2], AppendTo[b, (a[[k + 1]] + a[[k]])/2]], {k, 1, Length[a] - 1}]; RealDigits[N[FromContinuedFraction[b], 100]][[1]]

Crossrefs

Cf. A064442, A127549, A127550, A127551, A127552, A127553, A127555, A127556, A127557, A127559, A126555.

Sequence in context: A124075 A260548 A019315 * A324330 A197294 A228249

Adjacent sequences: A127555 A127556 A127557 * A127559 A127560 A127561

Keyword

cons,nonn

Author

Artur Jasinski, Jan 18 2007

Extensions

Offset corrected by R. J. Mathar, Feb 05 2009

Status

approved