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Smallest m such that 2 is at the n-th position of the decimal representation of the m-th Fibonacci number.
10

%I #5 Feb 16 2025 08:32:57

%S 2,21,233,2584,28657,9227465,2178309,24157817,267914296,2971215073,

%T 20365011074,225851433717,2504730781961,27777890035288,

%U 19740274219868223167,2111485077978050,23416728348467685

%N Smallest m such that 2 is at the n-th position of the decimal representation of the m-th Fibonacci number.

%C a(n) = A000045(A105702(n)).

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/FibonacciNumber.html">Fibonacci Number</a>

%e n=3: A105700(3)=18, a(3)=A000045(18)=2584->[2]584;

%e n=4: A105700(4)=23, a(4)=A000045(23)=28657->[2]8657.

%Y Cf. A105711, A072351, A105713, A105714, A105715, A105716, A105717, A105718, A105719.

%K nonn,base,changed

%O 0,1

%A _Reinhard Zumkeller_, Apr 18 2005