

A073564


Number of Fibonacci numbers F(k), k <= 10^n, whose initial digit is 8.


0




OFFSET

0,3


LINKS

Table of n, a(n) for n=0..8.


FORMULA

Limit as n > inf. a(n)/10^n = log_10(9/8).


EXAMPLE

a(2)=7 because there are 7 Fibonacci numbers F(k), k <= 10^2 whose initial digit is 8, namely:
k F(k)
6 8
11 89
30 832040
54 86267571272
73 806515533049393
78 8944394323791464
97 83621143489848422977


MATHEMATICA

Table[Count[Fibonacci[Range[10^n]], _?(IntegerDigits[#][[1]]==8&)], {n, 0, 5}] (* Harvey P. Dale, Feb 26 2023 *)


CROSSREFS

Sequence in context: A137612 A092802 A062207 * A194929 A317689 A116202
Adjacent sequences: A073561 A073562 A073563 * A073565 A073566 A073567


KEYWORD

base,nonn


AUTHOR

Shyam Sunder Gupta, Aug 15 2002


EXTENSIONS

Corrected and extended by Robert Gerbicz, Sep 05 2002
Data corrected by Harvey P. Dale_, Feb 25 2023 [The terms were off by 1]
Edited by N. J. A. Sloane, Feb 25 2023


STATUS

approved



