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

Offset: 1

Author

Amiram Eldar, Oct 22 2019

Keywords

• nonn
• cons

Examples

			5.582168726084073272273820087650101080679708682257948...
		

References

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

Crossrefs

Cf. A000032, A001113, A001622, A098689, A139341, A139342, A328495.

Programs

Mathematica

RealDigits[Exp[GoldenRatio] + Exp[1 - GoldenRatio], 10, 100][[1]]

Formula

Equals exp(phi) + exp(1-phi), where phi is the golden ratio (A001622).

Equals e * A328495. - Amiram Eldar, Feb 06 2022