A117768 Number of Lucas numbers with n digits.

4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5

Offset

0,1

Links

Table of n, a(n) for n=0..101.

Formula

Asymptotic mean: Lim_{m->oo} (1/m) * Sum_{k=1..m} a(k) = log(10)/log(phi) = 1/A097348 = 4.7849719667... . - Amiram Eldar, Sep 26 2025

Crossrefs

Cf. A000204, A097348.

Same as A050815 and A098842 but without the first 3 numbers.

Sequence in context: A094848 A308740 A349990 * A018245 A264936 A103671

Adjacent sequences: A117765 A117766 A117767 * A117769 A117770 A117771

Keyword

base,nonn

Author

Luc Stevens (lms022(AT)yahoo.com), Apr 15 2006

Status

approved