This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A105503 #7 Apr 13 2019 17:31:21 %S A105503 4,9,14,28,33,38,52,57,71,76,81,95,100,105,119,124,138,143,148,162, %T A105503 167,172,181,186,191,205,210,215,229,234,239,248,253,258,272,277,282, %U A105503 296,301,306,315,320,325,339,344,349,363,368,382,387,392,406,411,416,430 %N A105503 Numbers n such that 3 is the leading digit of the n-th Fibonacci number in decimal representation. %C A105503 A008963(a(n)) = 3; A105513(a(n)) = A105513(a(n) - 1) + 1. %F A105503 a(n) ~ kn by the equidistribution theorem, where k = log(10)/(log(4) - log(3)) = 8.00392.... - _Charles R Greathouse IV_, Oct 07 2016 %e A105503 a(10)=76: A008963(76) = A000030(A000045(76)) = %e A105503 A000030(3416454622906707) = 3. %t A105503 Select[Table[{n,Fibonacci[n]},{n,450}],First[IntegerDigits[#[[2]]]]==3&][[All,1]] (* _Harvey P. Dale_, Apr 13 2019 *) %o A105503 (PARI) is(n)=digits(fibonacci(n))[1]==3 \\ _Charles R Greathouse IV_, Oct 07 2016 %Y A105503 Cf. A000030, A000045, A072683, A105501, A105502, A105504, A105505, A105506, A105507, A105508, A105509. %K A105503 nonn,base %O A105503 1,1 %A A105503 _Reinhard Zumkeller_, Apr 11 2005 %E A105503 Definition clarified by _Harvey P. Dale_, Apr 13 2019