cp's OEIS Frontend

A074090 Number of steps to reach an integer starting with s = n/4 and iterating the map x -> s*ceiling(x).

%I A074090 #4 Mar 30 2012 16:49:30
%S A074090 3,1,2,0,3,2,13,0,1,1,1,0,4,3,2,0,2,1,9,0,2,2,2,0,1,1,1,0,7,4,3,0,7,1,
%T A074090 3,0,4,2,3,0,1,1,1,0,2,3,4,0,5,1,10,0,5,2,13,0,1,1,1,0,14,5,8,0,5,1,2,
%U A074090 0,10,2,11,0,1,1,1,0,6,3,2,0,2,1,17,0,2,2,2,0,1,1,1,0,3,4,6,0,16,1,5,0,3,2,4
%N A074090 Number of steps to reach an integer starting with s = n/4 and iterating the map x -> s*ceiling(x).
%p A074090 f := proc(b1,b2) local c1,c2,t1,t2,t3,t4,i; c1 := numer(b1/b2); c2 := denom(b1/b2); i := 0; while c2 <> 1 do i := i+1; t1 := ceil(c1/c2); t2 := b1*t1; t3 := t2/b2; c1 := numer(t3); c2 := denom(t3); od: RETURN(i); end; [seq(f(n,4),n=5..120)];
%Y A074090 Cf. A072340, A074078.
%K A074090 nonn
%O A074090 5,1
%A A074090 _N. J. A. Sloane_, Sep 16 2002