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a(n) = number of iterations of f(x)=floor((x^2+n^2)/(2x)) starting at x=n^2 to reach the value n.
3

%I #4 Aug 12 2019 23:26:36

%S 0,1,2,3,3,3,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,

%T 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,

%U 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9

%N a(n) = number of iterations of f(x)=floor((x^2+n^2)/(2x)) starting at x=n^2 to reach the value n.

%F a(n) = A327007(n^2).

%Y Cf. A000196, A327007, A327009, A327010.

%K nonn

%O 1,3

%A _Max Alekseyev_, Aug 12 2019