A179541 - OEIS

A179541

a(n) is the least possible smallest period attainable by the action of a periodic sequence of binary operations <+>,<-> (see A179382,A179480), beginning with 2n-1<+>1 or 2n-1<->1

%I #5 Dec 30 2012 11:20:15

%S 1,1,1,1,2,2,1,1,3,2,4

%N a(n) is the least possible smallest period attainable by the action of a periodic sequence of binary operations <+>,<-> (see A179382,A179480), beginning with 2n-1<+>1 or 2n-1<->1

%C The minorizing sequence for all sequences of type A179382,A179480 with arbitrary periodic rotation of the binary operations <+>,<->.

%e Let n=12, 2n-1=23. Considering periodic sequence <+>,<->,<+>,<->,..., we have 23<+>1=3, 23<->3=5, 23<+>5=7, 23<->7=1, 23<+>1=3,... Thus a(12)<=4. It is not difficult to verify that a(12)>3. Thus a(12)=4.

%Y Cf. A179382 A179480

%K nonn

%O 2,5

%A _Vladimir Shevelev_, Jul 18 2010