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A387917
Decimal expansion of 5*sqrt(5)/3.
0
3, 7, 2, 6, 7, 7, 9, 9, 6, 2, 4, 9, 9, 6, 4, 9, 4, 9, 4, 0, 1, 5, 2, 8, 9, 4, 4, 7, 8, 8, 5, 4, 6, 0, 3, 9, 2, 4, 0, 1, 0, 3, 0, 5, 9, 9, 3, 5, 2, 5, 4, 2, 8, 7, 3, 7, 8, 4, 8, 2, 8, 7, 4, 2, 3, 5, 0, 8, 6, 8, 2, 0, 9, 3, 9, 6, 3, 4, 1, 4, 9, 9, 0, 2, 4, 0, 2, 4, 0, 1, 3, 9, 6, 4, 6, 3, 7, 1, 2, 4, 9, 4, 9, 1, 8
OFFSET
1,1
LINKS
Hideyuki Ohtsuka, Problem B-1373, Elementary problems and solutions, The Fibonacci Quarterly, Vol. 63, No. 4 (2025), p. 754.
FORMULA
Equals 5 * A208899.
Equals 100 / A344171.
Equals Product_{k>=3} ((Fibonacci(k)+1)/(Fibonacci(k)-1))^((-1)^(k*(k+1)/2)) (Ohtsuka, 2025).
EXAMPLE
3.72677996249964949401528944788546039240103059935254...
MATHEMATICA
RealDigits[5*Sqrt[5]/3, 10, 120][[1]]
PROG
(PARI) list(len) = my(q = (quadgen(125)*2-1)/3); digits(floor(10^len * q));
CROSSREFS
KEYWORD
nonn,cons,changed
AUTHOR
Amiram Eldar, Dec 16 2025
STATUS
approved