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Fibonacci numbers sandwiched between two numbers having same number of divisors.
2

%I #10 Aug 08 2024 06:44:07

%S 34,55,144,10946,46368,196418,9227465,1134903170,4052739537881,

%T 117669030460994,420196140727489673,12200160415121876738,

%U 3928413764606871165730,22698374052006863956975682,68330027629092351019822533679447,13598018856492162040239554477268290

%N Fibonacci numbers sandwiched between two numbers having same number of divisors.

%H Amiram Eldar, <a href="/A171668/b171668.txt">Table of n, a(n) for n = 1..70</a>

%t f[n_]:=Length[Divisors[n]]; lst={};Do[fi=Fibonacci[n];If[f[fi-1]==f[fi+1],AppendTo[lst,fi]],{n,170}];lst

%Y Cf. A000005, A000045, A005237, A005238, A067889, A171666, A171667.

%K nonn

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Dec 14 2009

%E a(15)-a(16) from _Amiram Eldar_, Aug 08 2024