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A105717 Smallest Fibonacci number that has 7 in the n-th position of the decimal representation 11

%I #10 Jun 01 2020 02:00:46

%S 377,377,6765,17711,75025,5702887,267914296,2971215073,701408733,

%T 7778742049,27777890035288,27777890035288,17167680177565,

%U 72723460248141,51680708854858323072,37889062373143906,679891637638612258

%N Smallest Fibonacci number that has 7 in the n-th position of the decimal representation

%C a(n) = A000045(A105707(n)).

%H Robert Israel, <a href="/A105717/b105717.txt">Table of n, a(n) for n = 0..995</a>

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

%e n=3: A105700(3)=22, a(3)=A000045(22)=17711->1[7]711;

%e n=4: A105700(4)=25, a(4)=A000045(25)=75025->[7]5025.

%p N:= 100: # for a(0)..a(N)

%p F[0]:= 0: F[1]:= 1:

%p W:= Array(0..N):

%p count:= 0:

%p for m from 2 while count < N do

%p F[m]:= F[m-1]+F[m-2];

%p L:= convert(F[m],base,10);

%p M:= select(t -> L[t+1]=7 and W[t]=0, [$0..min(N,nops(L)-1)]);

%p count:= count + nops(M);

%p W[M]:= F[m]

%p od:

%p convert(W,list); # _Robert Israel_, Jun 01 2020

%Y Cf. A105711, A072351, A105712, A105713, A105714, A105715, A105716, A105718, A105719.

%K nonn,base

%O 0,1

%A _Reinhard Zumkeller_, Apr 18 2005

%E Definition corrected by _Robert Israel_, Jun 01 2020

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Last modified March 28 14:33 EDT 2024. Contains 371254 sequences. (Running on oeis4.)