OFFSET
1,6
FORMULA
Records occur at a(2^(i+1) - 2) = i.
For i>0, a(2^i + 1) = floor((i+1)/2).
EXAMPLE
Suppose n=8. We consider:
i=1, min{wt(1), wt(7)} = min{1,3} = 1,
i=2, min{wt(2), wt(6)} = min{1,2} = 1,
i=3, min{wt(3), wt(5)} = min{2,2} = 2,
i=4, min{wt(4), wt(4)} = min{1,1} = 1,
and the maximal value is 2, so a(8) = 2.
MAPLE
(First load "wt" from A000120) f:=proc(n) local i, j, k; if n=1 then RETURN(0); fi; j:=0; for i from 1 to floor(n/2) do k := min( wt(i), wt(n-i) ); if k > j then j:=k; fi; od: RETURN(j); end;
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, May 30 2008
STATUS
approved