login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A127558
Decimal expansion of the number 29.000694926917980144237135814... having continued fraction expansion 29, 1439, 4211, 7703, 12907, 14957, ... (A126555).
5
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
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]]
KEYWORD
cons,nonn
AUTHOR
Artur Jasinski, Jan 18 2007
EXTENSIONS
Offset corrected by R. J. Mathar, Feb 05 2009
STATUS
approved