A333567 Decimal expansion of the continued fraction expansion [1; 3, 4, 7, 11, 18,...] (the Lucas numbers beginning at 1, A000204).
1, 3, 0, 8, 5, 0, 0, 5, 2, 7, 8, 8, 7, 2, 3, 1, 3, 5, 2, 7, 5, 9, 4, 9, 8, 3, 9, 9, 7, 4, 8, 1, 0, 9, 6, 8, 0, 7, 3, 4, 6, 0, 7, 9, 8, 6, 2, 6, 7, 9, 8, 5, 8, 8, 9, 9, 9, 9, 9, 1, 2, 7, 4, 9, 7, 7, 9, 7, 3, 2, 7, 9, 6, 3, 4, 0, 8, 7, 9, 6, 6, 7, 2, 1, 2, 3, 3, 3, 7
Offset: 1
Examples
1.3085005278872313527594983997481096807346079862679858899999...
Programs
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Mathematica
RealDigits[FromContinuedFraction[LucasL[Range[20]]],10,120][[1]] (* Harvey P. Dale, Jun 06 2021 *)
Formula
Equals 1/(A333521 - 2).