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A343202
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Decimal expansion of Sum_{k>=0} 1/(k! * Fibonacci(2^k)).
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2
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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;
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OFFSET
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1,1
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COMMENTS
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The transcendence of this constant was proved independently by Mignotte (1974) and Mahler (1975).
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REFERENCES
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Maurice Mignotte, Quelques problèmes d'effectivité en théorie des nombres, Thesis, Univ. Paris XIII, Paris, 1974.
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LINKS
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EXAMPLE
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2.17464539389651955644333792522982188971668174552838...
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MATHEMATICA
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RealDigits[Sum[1/(n!*Fibonacci[2^n]), {n, 0, 20}], 10, 100][[1]]
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PROG
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(PARI) suminf(k=0, 1/(k!*fibonacci(2^k))) \\ Michel Marcus, Jul 07 2021
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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