A114469 Number of decimal digits in Lucas(10^n).

1, 3, 21, 209, 2090, 20899, 208988, 2089877, 20898765, 208987641, 2089876403

Offset

0,2

Links

Table of n, a(n) for n=0..10.

Eric Weisstein's World of Mathematics, Lucas Number.

Formula

a(n) = A055642(A000032(n)). - Michel Marcus, Jan 24 2018

Limit_{n->oo} a(n)/10^n = A097348. - Amiram Eldar, Apr 14 2022

Mathematica

Table[IntegerLength[LucasL[10^n]], {n, 0, 7}] (* Jean-François Alcover, Jan 24 2018 *)

Crossrefs

Cf. A068070. - R. J. Mathar, Dec 13 2008

Cf. A000032, A055642, A097348.

Sequence in context: A192314 A242635 A136223 * A097690 A037967 A123691

Adjacent sequences: A114466 A114467 A114468 * A114470 A114471 A114472

Keyword

nonn,base,more

Author

Eric W. Weisstein, Nov 30 2005

Extensions

a(8)-a(10) from Amiram Eldar, Apr 14 2022

Status

approved