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A343202 Decimal expansion of Sum_{k>=0} 1/(k! * Fibonacci(2^k)). 2
2, 1, 7, 4, 6, 4, 5, 3, 9, 3, 8, 9, 6, 5, 1, 9, 5, 5, 6, 4, 4, 3, 3, 3, 7, 9, 2, 5, 2, 2, 9, 8, 2, 1, 8, 8, 9, 7, 1, 6, 6, 8, 1, 7, 4, 5, 5, 2, 8, 3, 8, 7, 6, 9, 5, 2, 6, 0, 7, 1, 0, 8, 9, 2, 9, 5, 1, 9, 2, 9, 9, 5, 9, 7, 2, 9, 6, 1, 8, 8, 9, 8, 5, 1, 4, 0, 8, 5, 5, 1, 9, 6, 9, 6, 3, 1, 3, 7, 0, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
The transcendence of this constant was proved independently by Mignotte (1974) and Mahler (1975).
REFERENCES
Maurice Mignotte, Quelques problèmes d'effectivité en théorie des nombres, Thesis, Univ. Paris XIII, Paris, 1974.
LINKS
Kurt Mahler, On the transcendency of the solutions of a special class of functional equations, Bulletin of the Australian Mathematical Society, Vol. 13, No. 3 (1975), pp. 389-410.
EXAMPLE
2.17464539389651955644333792522982188971668174552838...
MATHEMATICA
RealDigits[Sum[1/(n!*Fibonacci[2^n]), {n, 0, 20}], 10, 100][[1]]
PROG
(PARI) suminf(k=0, 1/(k!*fibonacci(2^k))) \\ Michel Marcus, Jul 07 2021
CROSSREFS
Sequence in context: A107865 A089225 A185110 * A075085 A217458 A124048
KEYWORD
nonn,cons
AUTHOR
Amiram Eldar, Jul 07 2021
STATUS
approved

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Last modified March 28 10:55 EDT 2024. Contains 371241 sequences. (Running on oeis4.)