|
|
A105507
|
|
Numbers m such that 7 is the leading digit of the n-th Fibonacci number in decimal representation.
|
|
9
|
|
|
25, 44, 49, 68, 92, 111, 116, 135, 159, 178, 183, 202, 226, 245, 250, 269, 293, 312, 317, 336, 360, 379, 384, 403, 427, 446, 470, 489, 494, 513, 537, 556, 561, 580, 604, 623, 628, 647, 671, 690, 695, 714, 738, 757, 762, 781, 805, 824, 829, 848, 872, 891, 915
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
a(n) ~ kn by the equidistribution theorem, where k = log(10)/(log(8) - log(7)) = 17.24377.... - Charles R Greathouse IV, Oct 07 2016
|
|
EXAMPLE
|
A000030(7084593923980518516849609894969925639) = 7.
|
|
MATHEMATICA
|
Flatten[Position[Fibonacci[Range[1000]], _?(IntegerDigits[#][[1]]==7&)]] (* Harvey P. Dale, Nov 20 2015 *)
|
|
PROG
|
|
|
CROSSREFS
|
Cf. A000030, A000045, A072709, A105501, A105502, A105503, A105504, A105505, A105506, A105508, A105509.
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|