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A273003 Arrange the base 10 digits of the n-th Fibonacci number in descending order. 0

%I #15 Sep 16 2016 15:14:31

%S 0,1,1,2,3,5,8,31,21,43,55,98,441,332,773,610,987,9751,8542,8411,7665,

%T 96410,77111,87652,86643,75520,933211,986411,873111,954221,843200,

%U 9664321,9873210,8755432,8877520,9765422,95433210,87754211,99886310,98665432

%N Arrange the base 10 digits of the n-th Fibonacci number in descending order.

%C Conjecture: the largest Fibonacci number F(n) with its base 10 digits already sorted in descending order is F(16) = 987.

%F a(n) = A004186(A000045(n)). - _Michel Marcus_, May 15 2016

%e a(7) = 31 because F(7) = 13, so the digits in descending order become 31.

%e a(8) = 21 = F(8), the digits are already in descending order.

%t FromDigits[Reverse[Sort[IntegerDigits[#]]]]&/@Fibonacci[Range[0,50]] (* _Harvey P. Dale_, Sep 16 2016 *)

%o (PARI) a(n)=fromdigits(vecsort(digits(fibonacci(n)),,4)) \\ _Charles R Greathouse IV_, May 15 2016

%Y Cf. A000045, A004186, A272918, A273046.

%K nonn,base,easy

%O 0,4

%A _Alonso del Arte_, May 12 2016

%E Corrected and extended by _Harvey P. Dale_, Sep 16 2016

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)