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A333567
Decimal expansion of the continued fraction expansion [1; 3, 4, 7, 11, 18,...] (the Lucas numbers beginning at 1, A000204).
0
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
1,2
FORMULA
Equals 1/(A333521 - 2).
EXAMPLE
1.3085005278872313527594983997481096807346079862679858899999...
MATHEMATICA
RealDigits[FromContinuedFraction[LucasL[Range[20]]], 10, 120][[1]] (* Harvey P. Dale, Jun 06 2021 *)
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Daniel Hoyt, Mar 26 2020
STATUS
approved