A085825 Decimal expansion of number with continued fraction 2 + 3/5 + 7/11 + 13/17 + 19/23 + ...
2, 5, 3, 6, 0, 2, 7, 0, 8, 1, 6, 8, 9, 3, 3, 8, 3, 9, 2, 3, 0, 6, 9, 4, 9, 0, 8, 2, 1, 3, 5, 1, 9, 6, 2, 0, 5, 7, 3, 1, 5, 3, 6, 5, 0, 3, 6, 4, 7, 3, 4, 4, 8, 7, 9, 4, 5, 6, 6, 6, 5, 8, 6, 5, 6, 0, 6, 0, 9, 5, 3, 4, 3, 0, 8, 0, 4, 3, 3, 4, 5, 2, 8, 4, 8, 9, 2, 4, 9, 6, 7, 8, 1, 8, 1, 0, 4, 0, 4, 5, 1, 8, 1, 3, 5
Offset: 1
Examples
2.5360270816893...
Links
- Mark A. Herkommer, The Incredible Herkommer Number
- Mark A. Herkommer, Continued Fractions
Crossrefs
Cf. A000796.
Programs
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Mathematica
s = 0; Do[s = Prime[2n] / (Prime[2n + 1] + s), {n, 70, 1, -1}]; RealDigits[2 + s, 10, 111][[1]]
Comments