A127556 Decimal expansion of the number 4.1636635147332912770473687837946011358... having continued fraction expansion 4, 6, 9, 12, 15, 18, 21, 26, 30, 34, 39, ... (arithmetical average of two consecutive odd primes A024675).
4, 1, 6, 3, 6, 6, 3, 5, 1, 4, 7, 3, 3, 2, 9, 1, 2, 7, 7, 0, 4, 7, 3, 6, 8, 7, 8, 3, 7, 9, 4, 6, 0, 1, 1, 3, 5, 8, 0, 5, 7, 6, 4, 4, 9, 7, 4, 6, 3, 7, 4, 3, 9, 6, 9, 1, 5, 9, 0, 3, 6, 9, 5, 1, 4, 8, 8, 9, 8, 3, 6, 6, 8, 4, 4, 8, 0, 3, 1, 3, 7, 5, 7, 8, 0, 5, 3, 7, 9, 7, 1, 6, 5, 3, 8, 4, 7, 2, 6, 7
Offset: 1
Crossrefs
Programs
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Mathematica
a = {}; Do[AppendTo[a, (Prime[n] + Prime[n + 1])/2], {n, 2, 500}]; RealDigits[N[FromContinuedFraction[a], 100]][[1]]
Extensions
a(100) corrected by Sean A. Irvine, Jul 09 2023