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[ 1/{n*sqrt(5)} ], where {x} := x - [ x ].
3

%I #8 Aug 03 2014 14:27:15

%S 4,2,1,1,5,2,1,1,8,2,1,1,14,3,1,1,76,4,2,1,1,5,2,1,1,7,2,1,1,12,3,1,1,

%T 38,3,2,1,1,4,2,1,1,6,2,1,1,10,3,1,1,25,3,1,1,1,4,2,1,1,6,2,1,1,9,2,1,

%U 1,19,3,1,1,1,4,2,1,1,5,2,1,1,8,2,1,1,15,3,1,1,99,4,2,1,1,5,2

%N [ 1/{n*sqrt(5)} ], where {x} := x - [ x ].

%H Clark Kimberling, <a href="/A024553/b024553.txt">Table of n, a(n) for n = 1..1000</a>

%t Table[Floor[1/FractionalPart[n*Sqrt[5]]], {n, 1, 100}]

%t (* _Clark Kimberling_, Aug 16 2012 *)

%Y Cf. A024552.

%K nonn

%O 1,1

%A _Clark Kimberling_

%E Corrected by _Clark Kimberling_, Aug 16 2012