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A371650
Decimal expansion of Product_{k>=0} (1 + 1/Lucas(5^k)).
2
2, 1, 8, 1, 8, 3, 1, 1, 8, 7, 3, 3, 3, 0, 6, 2, 0, 2, 3, 8, 4, 2, 3, 6, 0, 1, 7, 0, 5, 5, 6, 7, 6, 1, 0, 6, 7, 8, 0, 2, 4, 3, 5, 6, 4, 6, 9, 5, 7, 9, 6, 9, 2, 4, 1, 3, 1, 7, 0, 3, 2, 2, 5, 2, 9, 1, 3, 8, 0, 9, 1, 2, 6, 4, 3, 6, 0, 1, 6, 1, 9, 9, 2, 4, 7, 4, 9, 2, 0, 7, 3, 4, 0, 6, 4, 4, 1, 6, 0, 3, 5, 5, 7, 5, 0, 0, 2
OFFSET
1,1
COMMENTS
This constant is a transcendental number (Nyblom, 2004).
FORMULA
Equals Product_{k>=0} (1 + 1/A144837(k)).
EXAMPLE
2.18183118733306202384236017055676106780243564695796...
MATHEMATICA
RealDigits[Product[1 + 1/LucasL[5^k], {k, 0, 10}], 10, 120][[1]]
PROG
(PARI) prodinf(k = 0, 1 + 1/(fibonacci(5^k-1) + fibonacci(5^k+1)))
CROSSREFS
Similar constants: A371525, A371526, A371648.
Sequence in context: A318651 A083529 A102208 * A369779 A125911 A009385
KEYWORD
nonn,cons
AUTHOR
Amiram Eldar, Mar 31 2024
STATUS
approved