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a(n) = [ n/{n*sqrt(5)} ], where {x} := x - [ x ].
2

%I #9 Aug 03 2014 14:27:15

%S 4,4,4,4,27,14,10,9,72,27,18,14,188,45,27,20,1292,72,39,27,21,113,53,

%T 36,27,188,72,45,34,365,97,57,41,1292,133,72,50,39,188,90,60,45,284,

%U 113,72,53,493,144,86,62,1292,188,103,72,55,254,125,83,63,365,152,97,72,590,188,113,82

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

%H Clark Kimberling, <a href="/A024552/b024552.txt">Table of n, a(n) for n = 1..1000</a>

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

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

%Y Cf. A024553.

%K nonn

%O 1,1

%A _Clark Kimberling_