login
Fibonacci numbers containing no pair of consecutive equal digits (probably finite).
2

%I #10 Oct 17 2019 14:26:25

%S 1,1,2,3,5,8,13,21,34,89,610,987,1597,2584,4181,6765,10946,28657,

%T 46368,75025,121393,196418,832040,1346269,2178309,3524578,14930352,

%U 24157817,63245986,267914296,2971215073,4807526976,12586269025,86267571272

%N Fibonacci numbers containing no pair of consecutive equal digits (probably finite).

%C The indices of these Fibonacci numbers are in A050761.

%C There are only 46 such numbers among the first 100000 Fibonacci numbers. - _Harvey P. Dale_, Apr 01 2013

%H Harvey P. Dale, <a href="/A050762/b050762.txt">Table of n, a(n) for n = 1..46</a>

%t Select[Fibonacci[Range[100]],!MemberQ[Differences[IntegerDigits[#]],0]&] (* _Harvey P. Dale_, Apr 01 2013 *)

%Y Cf. A043096, A000045, A050761.

%Y See A000045 for the Fibonacci numbers.

%K nonn,base

%O 1,3

%A _Patrick De Geest_, Sep 15 1999