A328344 - OEIS

A328344

Decimal expansion of Sum_{k>=0} L(k)/k!, where L(k) is the k-th Lucas number (A000032).

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

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OFFSET

1,1

REFERENCES

Thomas Koshy, Fibonacci and Lucas Numbers with Applications, Volume 1, 2nd edition, Wiley, 2017, chapter 13.8, pp. 248-250.

LINKS

Table of n, a(n) for n=1..87.

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...