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A328344
Decimal expansion of Sum_{k>=0} L(k)/k!, where L(k) is the k-th Lucas number (A000032).
1
5, 5, 8, 2, 1, 6, 8, 7, 2, 6, 0, 8, 4, 0, 7, 3, 2, 7, 2, 2, 7, 3, 8, 2, 0, 0, 8, 7, 6, 5, 0, 1, 0, 1, 0, 8, 0, 6, 7, 9, 7, 0, 8, 6, 8, 2, 2, 5, 7, 9, 4, 8, 5, 3, 9, 5, 2, 2, 8, 4, 1, 8, 5, 0, 0, 5, 3, 2, 6, 4, 7, 8, 7, 7, 1, 3, 7, 6, 1, 1, 7, 0, 8, 0, 7, 6, 2
OFFSET
1,1
REFERENCES
Thomas Koshy, Fibonacci and Lucas Numbers with Applications, Volume 1, 2nd edition, Wiley, 2017, chapter 13.8, pp. 248-250.
FORMULA
Equals exp(phi) + exp(1-phi), where phi is the golden ratio (A001622).
Equals e * A328495. - Amiram Eldar, Feb 06 2022
EXAMPLE
5.582168726084073272273820087650101080679708682257948...
MATHEMATICA
RealDigits[Exp[GoldenRatio] + Exp[1 - GoldenRatio], 10, 100][[1]]
KEYWORD
nonn,cons
AUTHOR
Amiram Eldar, Oct 22 2019
STATUS
approved