A105504 - OEIS

%I #5 Oct 07 2016 12:06:59

%S 19,24,43,48,62,67,72,86,91,110,115,129,134,153,158,177,182,196,201,

%T 220,225,244,249,263,268,287,292,311,316,330,335,354,359,373,378,383,

%U 397,402,421,426,440,445,450,464,469,488,493,507,512,517,531,536,555,560

%N Numbers m such that 4 is the leading digit of the n-th Fibonacci number in decimal representation.

%C A008963(a(n)) = 4; A105514(a(n)) = A105514(a(n) - 1) + 1.

%F a(n) ~ kn by the equidistribution theorem, where k = log(10)/(log(5) - log(4)) = 10.318851.... - _Charles R Greathouse IV_, Oct 07 2016

%e a(10)=110: A008963(110) = A000030(A000045(110)) =

%e A000030(43566776258854844738105) = 4.

%o (PARI) is(n)=digits(fibonacci(n))[1]==4 \\ _Charles R Greathouse IV_, Oct 07 2016

%Y Cf. A000030, A000045, A072702, A105501, A105502, A105503, A105505, A105506, A105507, A105508, A105509.

%K nonn,base

%O 1,1

%A _Reinhard Zumkeller_, Apr 11 2005