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Smallest m such that 5 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 5,10,17,25,37,29,34,52,50,56,53,58,82,98,77,77,85,92,98,96,101,125,

%T 120,127,120,125,134,144,139,144,175,159,165,163,168,180,185,216,187,

%U 192,201,210,206,211,251,250,237,230,235,246,255,275,254,261,268,305,273

%N Smallest m such that 5 is at the n-th position of the decimal representation of the m-th Fibonacci number.

%C A105715(n) = A000045(a(n)).

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

%e n=3: a(3)=25, A000045(25)=A105710(3)=75025->7[5]025;

%e n=4: a(4)=37, A000045(37)=A105710(4)=24157817->241[5]7817.

%Y Cf. A105701, A072354, A105702, A105703, A105704, A105706, A105707, A105708, A105709.

%K nonn,base,changed

%O 0,1

%A _Reinhard Zumkeller_, Apr 18 2005