%I #5 Jul 24 2015 23:15:13

%S 1,2,2,2,3,3,4,4,3,4,4,4,4,4,4,4,6,6,5,5,6,6,6,6,7,7,7,7,8,8,8,8,6,6,

%T 6,6,8,8,8,8,7,7,8,8,8,8,8,8,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,11,11,12,

%U 12,12,12,12,12,10,10,10,10,10,10,10,10,12,12,12,12,11,11,11,11,12,12,12

%N a(n) = ceiling(n/a(ceiling(n/2))); a(1) = 1.

%e a(50)=ceiling(50/a(25))

%e ..... a(25)=ceiling(25/a(13))

%e ........... a(13)=ceiling(13/a(7))

%e ................. a(7)=ceiling(7/a(4))

%e ...................... a(4)=ceiling(4/a(2))

%e ........................... a(2)=ceiling(2/a(1))

%e ................................ a(1)=1

%e ........................... a(2)=ceiling(2/a(1))=ceiling(2/1)=2

%e ...................... a(4)=ceiling(4/a(2))=ceiling(4/2)=2

%e ................. a(7)=ceiling(7/a(4))=ceiling(7/2)=4

%e ........... a(13)=ceiling(13/a(7))=ceiling(13/4)=4

%e ..... a(25)=ceiling(25/a(13))=ceiling(25/4)=7

%e a(50)=ceiling(50/a(25))=ceiling(50/7)=8.

%t a[1] = 1; a[n_] := a[n] = Ceiling[ n / a[Ceiling[ n/2]]]; Table[ a[n], {n, 91}] (* _Robert G. Wilson v_, Jul 21 2004 *)

%Y Cf. A097051, A097052.

%K nonn

%O 1,2

%A _Reinhard Zumkeller_, Jul 20 2004