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A073564
Number of Fibonacci numbers F(k), k <= 10^n, whose initial digit is 8.
0
0, 1, 7, 53, 513, 5117, 51151, 511531, 5115248
OFFSET
0,3
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 * A372939 A194929 A317689
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